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Finding the Fourth Proportional to 755.68, 1,042.89 and 424.10

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Solution

The fourth proportional to 755.68, 1,042.89 and 424.10 is: 585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.68 : 1,042.89 = 424.10 : x
  2. Step 2: Convert to fraction form
    755.68/1,042.89 = 424.10/x
  3. Step 3: Cross multiply
    755.68x = 1,042.89 × 424.10
  4. Step 4: Simplify right side
    755.68x = 442,289.65
  5. Step 5: Solve for x
    x = 442,289.65/755.68
  6. Step 6: Final answer
    x = 585.29

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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.