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Finding the Fourth Proportional to 755.93, 1,042.55 and 460.99

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Solution

The fourth proportional to 755.93, 1,042.55 and 460.99 is: 635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.93 : 1,042.55 = 460.99 : x
  2. Step 2: Convert to fraction form
    755.93/1,042.55 = 460.99/x
  3. Step 3: Cross multiply
    755.93x = 1,042.55 × 460.99
  4. Step 4: Simplify right side
    755.93x = 480,599.91
  5. Step 5: Solve for x
    x = 480,599.91/755.93
  6. Step 6: Final answer
    x = 635.78

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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.