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Finding the Fourth Proportional to 1,159.60, 1,600.14 and 635.64

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Solution

The fourth proportional to 1,159.60, 1,600.14 and 635.64 is: 877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.60 : 1,600.14 = 635.64 : x
  2. Step 2: Convert to fraction form
    1,159.60/1,600.14 = 635.64/x
  3. Step 3: Cross multiply
    1,159.60x = 1,600.14 × 635.64
  4. Step 4: Simplify right side
    1,159.60x = 1,017,112.99
  5. Step 5: Solve for x
    x = 1,017,112.99/1,159.60
  6. Step 6: Final answer
    x = 877.12

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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.