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Finding the Fourth Proportional to 1,159.09, 1,599.54 and 635.15

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Solution

The fourth proportional to 1,159.09, 1,599.54 and 635.15 is: 876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.09 : 1,599.54 = 635.15 : x
  2. Step 2: Convert to fraction form
    1,159.09/1,599.54 = 635.15/x
  3. Step 3: Cross multiply
    1,159.09x = 1,599.54 × 635.15
  4. Step 4: Simplify right side
    1,159.09x = 1,015,947.83
  5. Step 5: Solve for x
    x = 1,015,947.83/1,159.09
  6. Step 6: Final answer
    x = 876.50

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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.