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Finding the Fourth Proportional to 1,159.24, 1,601.16 and 845.50

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Solution

The fourth proportional to 1,159.24, 1,601.16 and 845.50 is: 1,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.24 : 1,601.16 = 845.50 : x
  2. Step 2: Convert to fraction form
    1,159.24/1,601.16 = 845.50/x
  3. Step 3: Cross multiply
    1,159.24x = 1,601.16 × 845.50
  4. Step 4: Simplify right side
    1,159.24x = 1,353,780.78
  5. Step 5: Solve for x
    x = 1,353,780.78/1,159.24
  6. Step 6: Final answer
    x = 1,167.82

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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.