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Finding the Fourth Proportional to 754.08, 1,040.70 and 474.42

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Solution

The fourth proportional to 754.08, 1,040.70 and 474.42 is: 654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.08 : 1,040.70 = 474.42 : x
  2. Step 2: Convert to fraction form
    754.08/1,040.70 = 474.42/x
  3. Step 3: Cross multiply
    754.08x = 1,040.70 × 474.42
  4. Step 4: Simplify right side
    754.08x = 493,728.89
  5. Step 5: Solve for x
    x = 493,728.89/754.08
  6. Step 6: Final answer
    x = 654.74

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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.