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Finding the Fourth Proportional to 763.02, 1,053 and 501.30

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Solution

The fourth proportional to 763.02, 1,053 and 501.30 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.02 : 1,053 = 501.30 : x
  2. Step 2: Convert to fraction form
    763.02/1,053 = 501.30/x
  3. Step 3: Cross multiply
    763.02x = 1,053 × 501.30
  4. Step 4: Simplify right side
    763.02x = 527,868.90
  5. Step 5: Solve for x
    x = 527,868.90/763.02
  6. Step 6: Final answer
    x = 691.82

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