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Finding the Fourth Proportional to 755.70, 1,042.62 and 424.08

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Solution

The fourth proportional to 755.70, 1,042.62 and 424.08 is: 585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.70 : 1,042.62 = 424.08 : x
  2. Step 2: Convert to fraction form
    755.70/1,042.62 = 424.08/x
  3. Step 3: Cross multiply
    755.70x = 1,042.62 × 424.08
  4. Step 4: Simplify right side
    755.70x = 442,154.29
  5. Step 5: Solve for x
    x = 442,154.29/755.70
  6. Step 6: Final answer
    x = 585.09

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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.