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Finding the Fourth Proportional to 755.60, 1,042.73 and 424.03

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Solution

The fourth proportional to 755.60, 1,042.73 and 424.03 is: 585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.60 : 1,042.73 = 424.03 : x
  2. Step 2: Convert to fraction form
    755.60/1,042.73 = 424.03/x
  3. Step 3: Cross multiply
    755.60x = 1,042.73 × 424.03
  4. Step 4: Simplify right side
    755.60x = 442,148.80
  5. Step 5: Solve for x
    x = 442,148.80/755.60
  6. Step 6: Final answer
    x = 585.16

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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.