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Finding the Fourth Proportional to 755.86, 1,042.95 and 424.30

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Solution

The fourth proportional to 755.86, 1,042.95 and 424.30 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.86 : 1,042.95 = 424.30 : x
  2. Step 2: Convert to fraction form
    755.86/1,042.95 = 424.30/x
  3. Step 3: Cross multiply
    755.86x = 1,042.95 × 424.30
  4. Step 4: Simplify right side
    755.86x = 442,519.77
  5. Step 5: Solve for x
    x = 442,519.77/755.86
  6. Step 6: Final answer
    x = 585.45

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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.