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Finding the Fourth Proportional to 1,439.15, 2,159.48 and 708.63

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Solution

The fourth proportional to 1,439.15, 2,159.48 and 708.63 is: 1,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.15 : 2,159.48 = 708.63 : x
  2. Step 2: Convert to fraction form
    1,439.15/2,159.48 = 708.63/x
  3. Step 3: Cross multiply
    1,439.15x = 2,159.48 × 708.63
  4. Step 4: Simplify right side
    1,439.15x = 1,530,274.08
  5. Step 5: Solve for x
    x = 1,530,274.08/1,439.15
  6. Step 6: Final answer
    x = 1,063.32

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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.