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Finding the Fourth Proportional to 1,334.74, 1,998.35 and 708.61

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Solution

The fourth proportional to 1,334.74, 1,998.35 and 708.61 is: 1,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.74 : 1,998.35 = 708.61 : x
  2. Step 2: Convert to fraction form
    1,334.74/1,998.35 = 708.61/x
  3. Step 3: Cross multiply
    1,334.74x = 1,998.35 × 708.61
  4. Step 4: Simplify right side
    1,334.74x = 1,416,050.79
  5. Step 5: Solve for x
    x = 1,416,050.79/1,334.74
  6. Step 6: Final answer
    x = 1,060.92

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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.