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Finding the Fourth Proportional to 755.69, 1,042.76 and 424.12

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Solution

The fourth proportional to 755.69, 1,042.76 and 424.12 is: 585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.69 : 1,042.76 = 424.12 : x
  2. Step 2: Convert to fraction form
    755.69/1,042.76 = 424.12/x
  3. Step 3: Cross multiply
    755.69x = 1,042.76 × 424.12
  4. Step 4: Simplify right side
    755.69x = 442,248.04
  5. Step 5: Solve for x
    x = 442,248.04/755.69
  6. Step 6: Final answer
    x = 585.22

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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.