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Finding the Fourth Proportional to 757.42, 1,045.17 and 442.82

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Solution

The fourth proportional to 757.42, 1,045.17 and 442.82 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.42 : 1,045.17 = 442.82 : x
  2. Step 2: Convert to fraction form
    757.42/1,045.17 = 442.82/x
  3. Step 3: Cross multiply
    757.42x = 1,045.17 × 442.82
  4. Step 4: Simplify right side
    757.42x = 462,824.79
  5. Step 5: Solve for x
    x = 462,824.79/757.42
  6. Step 6: Final answer
    x = 611.06

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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.