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Finding the Fourth Proportional to 755.49, 1,042.84 and 456.91

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Solution

The fourth proportional to 755.49, 1,042.84 and 456.91 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.49 : 1,042.84 = 456.91 : x
  2. Step 2: Convert to fraction form
    755.49/1,042.84 = 456.91/x
  3. Step 3: Cross multiply
    755.49x = 1,042.84 × 456.91
  4. Step 4: Simplify right side
    755.49x = 476,479.73
  5. Step 5: Solve for x
    x = 476,479.73/755.49
  6. Step 6: Final answer
    x = 630.69

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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.