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Finding the Fourth Proportional to 1,010.37, 1,514.82 and 523.15

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Solution

The fourth proportional to 1,010.37, 1,514.82 and 523.15 is: 784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.37 : 1,514.82 = 523.15 : x
  2. Step 2: Convert to fraction form
    1,010.37/1,514.82 = 523.15/x
  3. Step 3: Cross multiply
    1,010.37x = 1,514.82 × 523.15
  4. Step 4: Simplify right side
    1,010.37x = 792,478.08
  5. Step 5: Solve for x
    x = 792,478.08/1,010.37
  6. Step 6: Final answer
    x = 784.35

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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.