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Finding the Fourth Proportional to 1,114.85, 1,672.29 and 293.15

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Solution

The fourth proportional to 1,114.85, 1,672.29 and 293.15 is: 439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.85 : 1,672.29 = 293.15 : x
  2. Step 2: Convert to fraction form
    1,114.85/1,672.29 = 293.15/x
  3. Step 3: Cross multiply
    1,114.85x = 1,672.29 × 293.15
  4. Step 4: Simplify right side
    1,114.85x = 490,223.45
  5. Step 5: Solve for x
    x = 490,223.45/1,114.85
  6. Step 6: Final answer
    x = 439.72

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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.