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Finding the Fourth Proportional to 1,165.39, 1,749.18 and 425.71

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Solution

The fourth proportional to 1,165.39, 1,749.18 and 425.71 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.39 : 1,749.18 = 425.71 : x
  2. Step 2: Convert to fraction form
    1,165.39/1,749.18 = 425.71/x
  3. Step 3: Cross multiply
    1,165.39x = 1,749.18 × 425.71
  4. Step 4: Simplify right side
    1,165.39x = 744,643.42
  5. Step 5: Solve for x
    x = 744,643.42/1,165.39
  6. Step 6: Final answer
    x = 638.96

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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.