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Finding the Fourth Proportional to 1,160.53, 1,736.72 and 831.83

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Solution

The fourth proportional to 1,160.53, 1,736.72 and 831.83 is: 1,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.53 : 1,736.72 = 831.83 : x
  2. Step 2: Convert to fraction form
    1,160.53/1,736.72 = 831.83/x
  3. Step 3: Cross multiply
    1,160.53x = 1,736.72 × 831.83
  4. Step 4: Simplify right side
    1,160.53x = 1,444,647.11
  5. Step 5: Solve for x
    x = 1,444,647.11/1,160.53
  6. Step 6: Final answer
    x = 1,244.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.