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Finding the Fourth Proportional to 1,114.87, 1,672.31 and 457.10

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Solution

The fourth proportional to 1,114.87, 1,672.31 and 457.10 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.87 : 1,672.31 = 457.10 : x
  2. Step 2: Convert to fraction form
    1,114.87/1,672.31 = 457.10/x
  3. Step 3: Cross multiply
    1,114.87x = 1,672.31 × 457.10
  4. Step 4: Simplify right side
    1,114.87x = 764,414.80
  5. Step 5: Solve for x
    x = 764,414.80/1,114.87
  6. Step 6: Final answer
    x = 685.66

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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.