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Finding the Fourth Proportional to 708.46, 1,061.33 and 593.64

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Solution

The fourth proportional to 708.46, 1,061.33 and 593.64 is: 889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.46 : 1,061.33 = 593.64 : x
  2. Step 2: Convert to fraction form
    708.46/1,061.33 = 593.64/x
  3. Step 3: Cross multiply
    708.46x = 1,061.33 × 593.64
  4. Step 4: Simplify right side
    708.46x = 630,044.97
  5. Step 5: Solve for x
    x = 630,044.97/708.46
  6. Step 6: Final answer
    x = 889.32

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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.