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Finding the Fourth Proportional to 1,159.71, 1,600.43 and 635.78

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Solution

The fourth proportional to 1,159.71, 1,600.43 and 635.78 is: 877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.71 : 1,600.43 = 635.78 : x
  2. Step 2: Convert to fraction form
    1,159.71/1,600.43 = 635.78/x
  3. Step 3: Cross multiply
    1,159.71x = 1,600.43 × 635.78
  4. Step 4: Simplify right side
    1,159.71x = 1,017,510.20
  5. Step 5: Solve for x
    x = 1,017,510.20/1,159.71
  6. Step 6: Final answer
    x = 877.38

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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.