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Finding the Fourth Proportional to 1,114.90, 1,672.28 and 293.15

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Solution

The fourth proportional to 1,114.90, 1,672.28 and 293.15 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.90 : 1,672.28 = 293.15 : x
  2. Step 2: Convert to fraction form
    1,114.90/1,672.28 = 293.15/x
  3. Step 3: Cross multiply
    1,114.90x = 1,672.28 × 293.15
  4. Step 4: Simplify right side
    1,114.90x = 490,232.70
  5. Step 5: Solve for x
    x = 490,232.70/1,114.90
  6. Step 6: Final answer
    x = 439.71

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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.