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Finding the Fourth Proportional to 1,159.84, 1,600.66 and 635.91

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Solution

The fourth proportional to 1,159.84, 1,600.66 and 635.91 is: 877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.84 : 1,600.66 = 635.91 : x
  2. Step 2: Convert to fraction form
    1,159.84/1,600.66 = 635.91/x
  3. Step 3: Cross multiply
    1,159.84x = 1,600.66 × 635.91
  4. Step 4: Simplify right side
    1,159.84x = 1,017,867.70
  5. Step 5: Solve for x
    x = 1,017,867.70/1,159.84
  6. Step 6: Final answer
    x = 877.59

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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.