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Finding the Fourth Proportional to 1,010.52, 1,516.55 and 463.09

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Solution

The fourth proportional to 1,010.52, 1,516.55 and 463.09 is: 694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.52 : 1,516.55 = 463.09 : x
  2. Step 2: Convert to fraction form
    1,010.52/1,516.55 = 463.09/x
  3. Step 3: Cross multiply
    1,010.52x = 1,516.55 × 463.09
  4. Step 4: Simplify right side
    1,010.52x = 702,294.93
  5. Step 5: Solve for x
    x = 702,294.93/1,010.52
  6. Step 6: Final answer
    x = 694.98

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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.