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Finding the Fourth Proportional to 1,016.26, 1,524.38 and 332.26

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Solution

The fourth proportional to 1,016.26, 1,524.38 and 332.26 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.26 : 1,524.38 = 332.26 : x
  2. Step 2: Convert to fraction form
    1,016.26/1,524.38 = 332.26/x
  3. Step 3: Cross multiply
    1,016.26x = 1,524.38 × 332.26
  4. Step 4: Simplify right side
    1,016.26x = 506,490.50
  5. Step 5: Solve for x
    x = 506,490.50/1,016.26
  6. Step 6: Final answer
    x = 498.39

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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.