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Finding the Fourth Proportional to 754.10, 1,038.80 and 655.69

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Solution

The fourth proportional to 754.10, 1,038.80 and 655.69 is: 903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.10 : 1,038.80 = 655.69 : x
  2. Step 2: Convert to fraction form
    754.10/1,038.80 = 655.69/x
  3. Step 3: Cross multiply
    754.10x = 1,038.80 × 655.69
  4. Step 4: Simplify right side
    754.10x = 681,129.81
  5. Step 5: Solve for x
    x = 681,129.81/754.10
  6. Step 6: Final answer
    x = 903.23

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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.