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Finding the Fourth Proportional to 708.32, 1,061.94 and 342.74

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Solution

The fourth proportional to 708.32, 1,061.94 and 342.74 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 1,061.94 = 342.74 : x
  2. Step 2: Convert to fraction form
    708.32/1,061.94 = 342.74/x
  3. Step 3: Cross multiply
    708.32x = 1,061.94 × 342.74
  4. Step 4: Simplify right side
    708.32x = 363,969.32
  5. Step 5: Solve for x
    x = 363,969.32/708.32
  6. Step 6: Final answer
    x = 513.85

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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.