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Finding the Fourth Proportional to 755.64, 1,042.74 and 424.17

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Solution

The fourth proportional to 755.64, 1,042.74 and 424.17 is: 585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.64 : 1,042.74 = 424.17 : x
  2. Step 2: Convert to fraction form
    755.64/1,042.74 = 424.17/x
  3. Step 3: Cross multiply
    755.64x = 1,042.74 × 424.17
  4. Step 4: Simplify right side
    755.64x = 442,299.03
  5. Step 5: Solve for x
    x = 442,299.03/755.64
  6. Step 6: Final answer
    x = 585.33

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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.