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Finding the Fourth Proportional to 1,020.24, 1,529.85 and 714.06

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Solution

The fourth proportional to 1,020.24, 1,529.85 and 714.06 is: 1,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.24 : 1,529.85 = 714.06 : x
  2. Step 2: Convert to fraction form
    1,020.24/1,529.85 = 714.06/x
  3. Step 3: Cross multiply
    1,020.24x = 1,529.85 × 714.06
  4. Step 4: Simplify right side
    1,020.24x = 1,092,404.69
  5. Step 5: Solve for x
    x = 1,092,404.69/1,020.24
  6. Step 6: Final answer
    x = 1,070.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.