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Finding the Fourth Proportional to 755.47, 1,042.67 and 460.91

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Solution

The fourth proportional to 755.47, 1,042.67 and 460.91 is: 636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.47 : 1,042.67 = 460.91 : x
  2. Step 2: Convert to fraction form
    755.47/1,042.67 = 460.91/x
  3. Step 3: Cross multiply
    755.47x = 1,042.67 × 460.91
  4. Step 4: Simplify right side
    755.47x = 480,576.41
  5. Step 5: Solve for x
    x = 480,576.41/755.47
  6. Step 6: Final answer
    x = 636.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.