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Finding the Fourth Proportional to 731.07, 1,090.49 and 653.31

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Solution

The fourth proportional to 731.07, 1,090.49 and 653.31 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.07 : 1,090.49 = 653.31 : x
  2. Step 2: Convert to fraction form
    731.07/1,090.49 = 653.31/x
  3. Step 3: Cross multiply
    731.07x = 1,090.49 × 653.31
  4. Step 4: Simplify right side
    731.07x = 712,424.76
  5. Step 5: Solve for x
    x = 712,424.76/731.07
  6. Step 6: Final answer
    x = 974.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.