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Finding the Fourth Proportional to 1,010.52, 1,516.14 and 523.80

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Solution

The fourth proportional to 1,010.52, 1,516.14 and 523.80 is: 785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.52 : 1,516.14 = 523.80 : x
  2. Step 2: Convert to fraction form
    1,010.52/1,516.14 = 523.80/x
  3. Step 3: Cross multiply
    1,010.52x = 1,516.14 × 523.80
  4. Step 4: Simplify right side
    1,010.52x = 794,154.13
  5. Step 5: Solve for x
    x = 794,154.13/1,010.52
  6. Step 6: Final answer
    x = 785.89

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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.