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Finding the Fourth Proportional to 708.03, 1,061.52 and 414.86

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Solution

The fourth proportional to 708.03, 1,061.52 and 414.86 is: 621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.03 : 1,061.52 = 414.86 : x
  2. Step 2: Convert to fraction form
    708.03/1,061.52 = 414.86/x
  3. Step 3: Cross multiply
    708.03x = 1,061.52 × 414.86
  4. Step 4: Simplify right side
    708.03x = 440,376.88
  5. Step 5: Solve for x
    x = 440,376.88/708.03
  6. Step 6: Final answer
    x = 621.97

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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.