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Finding the Fourth Proportional to 754.61, 1,041.17 and 474.98

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Solution

The fourth proportional to 754.61, 1,041.17 and 474.98 is: 655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.61 : 1,041.17 = 474.98 : x
  2. Step 2: Convert to fraction form
    754.61/1,041.17 = 474.98/x
  3. Step 3: Cross multiply
    754.61x = 1,041.17 × 474.98
  4. Step 4: Simplify right side
    754.61x = 494,527.35
  5. Step 5: Solve for x
    x = 494,527.35/754.61
  6. Step 6: Final answer
    x = 655.35

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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.