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Finding the Fourth Proportional to 1,114.52, 1,671.67 and 498.71

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Solution

The fourth proportional to 1,114.52, 1,671.67 and 498.71 is: 748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.52 : 1,671.67 = 498.71 : x
  2. Step 2: Convert to fraction form
    1,114.52/1,671.67 = 498.71/x
  3. Step 3: Cross multiply
    1,114.52x = 1,671.67 × 498.71
  4. Step 4: Simplify right side
    1,114.52x = 833,683.35
  5. Step 5: Solve for x
    x = 833,683.35/1,114.52
  6. Step 6: Final answer
    x = 748.02

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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.