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Finding the Fourth Proportional to 742.78, 1,114.35 and 649.36

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Solution

The fourth proportional to 742.78, 1,114.35 and 649.36 is: 974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.78 : 1,114.35 = 649.36 : x
  2. Step 2: Convert to fraction form
    742.78/1,114.35 = 649.36/x
  3. Step 3: Cross multiply
    742.78x = 1,114.35 × 649.36
  4. Step 4: Simplify right side
    742.78x = 723,608.74
  5. Step 5: Solve for x
    x = 723,608.74/742.78
  6. Step 6: Final answer
    x = 974.20

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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.