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Finding the Fourth Proportional to 754.46, 1,041.08 and 423

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Solution

The fourth proportional to 754.46, 1,041.08 and 423 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.46 : 1,041.08 = 423 : x
  2. Step 2: Convert to fraction form
    754.46/1,041.08 = 423/x
  3. Step 3: Cross multiply
    754.46x = 1,041.08 × 423
  4. Step 4: Simplify right side
    754.46x = 440,374.73
  5. Step 5: Solve for x
    x = 440,374.73/754.46
  6. Step 6: Final answer
    x = 583.70

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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.