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Finding the Fourth Proportional to 708.06, 1,062.36 and 411.72

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Solution

The fourth proportional to 708.06, 1,062.36 and 411.72 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 1,062.36 = 411.72 : x
  2. Step 2: Convert to fraction form
    708.06/1,062.36 = 411.72/x
  3. Step 3: Cross multiply
    708.06x = 1,062.36 × 411.72
  4. Step 4: Simplify right side
    708.06x = 437,394.86
  5. Step 5: Solve for x
    x = 437,394.86/708.06
  6. Step 6: Final answer
    x = 617.74

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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.