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Finding the Fourth Proportional to 731.86, 1,097.02 and 454.21

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Solution

The fourth proportional to 731.86, 1,097.02 and 454.21 is: 680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.86 : 1,097.02 = 454.21 : x
  2. Step 2: Convert to fraction form
    731.86/1,097.02 = 454.21/x
  3. Step 3: Cross multiply
    731.86x = 1,097.02 × 454.21
  4. Step 4: Simplify right side
    731.86x = 498,283.63
  5. Step 5: Solve for x
    x = 498,283.63/731.86
  6. Step 6: Final answer
    x = 680.84

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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.