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Finding the Fourth Proportional to 715.03, 1,073.76 and 471.42

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Solution

The fourth proportional to 715.03, 1,073.76 and 471.42 is: 707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.03 : 1,073.76 = 471.42 : x
  2. Step 2: Convert to fraction form
    715.03/1,073.76 = 471.42/x
  3. Step 3: Cross multiply
    715.03x = 1,073.76 × 471.42
  4. Step 4: Simplify right side
    715.03x = 506,190.17
  5. Step 5: Solve for x
    x = 506,190.17/715.03
  6. Step 6: Final answer
    x = 707.93

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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.