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Finding the Fourth Proportional to 1,291.87, 1,780.95 and 872.02

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Solution

The fourth proportional to 1,291.87, 1,780.95 and 872.02 is: 1,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.87 : 1,780.95 = 872.02 : x
  2. Step 2: Convert to fraction form
    1,291.87/1,780.95 = 872.02/x
  3. Step 3: Cross multiply
    1,291.87x = 1,780.95 × 872.02
  4. Step 4: Simplify right side
    1,291.87x = 1,553,024.02
  5. Step 5: Solve for x
    x = 1,553,024.02/1,291.87
  6. Step 6: Final answer
    x = 1,202.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.