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Finding the Fourth Proportional to 754.48, 1,038.56 and 655.84

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Solution

The fourth proportional to 754.48, 1,038.56 and 655.84 is: 902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.48 : 1,038.56 = 655.84 : x
  2. Step 2: Convert to fraction form
    754.48/1,038.56 = 655.84/x
  3. Step 3: Cross multiply
    754.48x = 1,038.56 × 655.84
  4. Step 4: Simplify right side
    754.48x = 681,129.19
  5. Step 5: Solve for x
    x = 681,129.19/754.48
  6. Step 6: Final answer
    x = 902.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.