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Finding the Fourth Proportional to 762.31, 1,052.19 and 526.30

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Solution

The fourth proportional to 762.31, 1,052.19 and 526.30 is: 726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.31 : 1,052.19 = 526.30 : x
  2. Step 2: Convert to fraction form
    762.31/1,052.19 = 526.30/x
  3. Step 3: Cross multiply
    762.31x = 1,052.19 × 526.30
  4. Step 4: Simplify right side
    762.31x = 553,764.97
  5. Step 5: Solve for x
    x = 553,764.97/762.31
  6. Step 6: Final answer
    x = 726.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.