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Finding the Fourth Proportional to 1,160.20, 1,601.08 and 636.24

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Solution

The fourth proportional to 1,160.20, 1,601.08 and 636.24 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.20 : 1,601.08 = 636.24 : x
  2. Step 2: Convert to fraction form
    1,160.20/1,601.08 = 636.24/x
  3. Step 3: Cross multiply
    1,160.20x = 1,601.08 × 636.24
  4. Step 4: Simplify right side
    1,160.20x = 1,018,671.14
  5. Step 5: Solve for x
    x = 1,018,671.14/1,160.20
  6. Step 6: Final answer
    x = 878.01

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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.