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Finding the Fourth Proportional to 1,077.46, 1,486.51 and 635.27

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Solution

The fourth proportional to 1,077.46, 1,486.51 and 635.27 is: 876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.46 : 1,486.51 = 635.27 : x
  2. Step 2: Convert to fraction form
    1,077.46/1,486.51 = 635.27/x
  3. Step 3: Cross multiply
    1,077.46x = 1,486.51 × 635.27
  4. Step 4: Simplify right side
    1,077.46x = 944,326.19
  5. Step 5: Solve for x
    x = 944,326.19/1,077.46
  6. Step 6: Final answer
    x = 876.44

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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.