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Finding the Fourth Proportional to 742.97, 1,114.64 and 332.14

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Solution

The fourth proportional to 742.97, 1,114.64 and 332.14 is: 498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.97 : 1,114.64 = 332.14 : x
  2. Step 2: Convert to fraction form
    742.97/1,114.64 = 332.14/x
  3. Step 3: Cross multiply
    742.97x = 1,114.64 × 332.14
  4. Step 4: Simplify right side
    742.97x = 370,216.53
  5. Step 5: Solve for x
    x = 370,216.53/742.97
  6. Step 6: Final answer
    x = 498.29

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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.