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Finding the Fourth Proportional to 1,009.90, 1,514.85 and 523.10

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Solution

The fourth proportional to 1,009.90, 1,514.85 and 523.10 is: 784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.90 : 1,514.85 = 523.10 : x
  2. Step 2: Convert to fraction form
    1,009.90/1,514.85 = 523.10/x
  3. Step 3: Cross multiply
    1,009.90x = 1,514.85 × 523.10
  4. Step 4: Simplify right side
    1,009.90x = 792,418.04
  5. Step 5: Solve for x
    x = 792,418.04/1,009.90
  6. Step 6: Final answer
    x = 784.65

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.