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Finding the Fourth Proportional to 755.65, 1,042.72 and 424.06

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Solution

The fourth proportional to 755.65, 1,042.72 and 424.06 is: 585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.65 : 1,042.72 = 424.06 : x
  2. Step 2: Convert to fraction form
    755.65/1,042.72 = 424.06/x
  3. Step 3: Cross multiply
    755.65x = 1,042.72 × 424.06
  4. Step 4: Simplify right side
    755.65x = 442,177.49
  5. Step 5: Solve for x
    x = 442,177.49/755.65
  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.