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Finding the Fourth Proportional to 1,159.91, 1,600.66 and 635.93

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Solution

The fourth proportional to 1,159.91, 1,600.66 and 635.93 is: 877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.91 : 1,600.66 = 635.93 : x
  2. Step 2: Convert to fraction form
    1,159.91/1,600.66 = 635.93/x
  3. Step 3: Cross multiply
    1,159.91x = 1,600.66 × 635.93
  4. Step 4: Simplify right side
    1,159.91x = 1,017,910.13
  5. Step 5: Solve for x
    x = 1,017,910.13/1,159.91
  6. Step 6: Final answer
    x = 877.58

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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.