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Finding the Fourth Proportional to 1,159.75, 1,600.46 and 635.79

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Solution

The fourth proportional to 1,159.75, 1,600.46 and 635.79 is: 877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.75 : 1,600.46 = 635.79 : x
  2. Step 2: Convert to fraction form
    1,159.75/1,600.46 = 635.79/x
  3. Step 3: Cross multiply
    1,159.75x = 1,600.46 × 635.79
  4. Step 4: Simplify right side
    1,159.75x = 1,017,556.46
  5. Step 5: Solve for x
    x = 1,017,556.46/1,159.75
  6. Step 6: Final answer
    x = 877.39

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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.