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Finding the Fourth Proportional to 1,114.60, 1,671.49 and 498.19

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Solution

The fourth proportional to 1,114.60, 1,671.49 and 498.19 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.60 : 1,671.49 = 498.19 : x
  2. Step 2: Convert to fraction form
    1,114.60/1,671.49 = 498.19/x
  3. Step 3: Cross multiply
    1,114.60x = 1,671.49 × 498.19
  4. Step 4: Simplify right side
    1,114.60x = 832,719.60
  5. Step 5: Solve for x
    x = 832,719.60/1,114.60
  6. Step 6: Final answer
    x = 747.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.