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Finding the Fourth Proportional to 1,438.52, 2,158.72 and 708.10

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Solution

The fourth proportional to 1,438.52, 2,158.72 and 708.10 is: 1,062.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.52 : 2,158.72 = 708.10 : x
  2. Step 2: Convert to fraction form
    1,438.52/2,158.72 = 708.10/x
  3. Step 3: Cross multiply
    1,438.52x = 2,158.72 × 708.10
  4. Step 4: Simplify right side
    1,438.52x = 1,528,582.46
  5. Step 5: Solve for x
    x = 1,528,582.46/1,438.52
  6. Step 6: Final answer
    x = 1,062.61

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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.