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Finding the Fourth Proportional to 1,154.57, 1,733.12 and 831.38

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Solution

The fourth proportional to 1,154.57, 1,733.12 and 831.38 is: 1,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.57 : 1,733.12 = 831.38 : x
  2. Step 2: Convert to fraction form
    1,154.57/1,733.12 = 831.38/x
  3. Step 3: Cross multiply
    1,154.57x = 1,733.12 × 831.38
  4. Step 4: Simplify right side
    1,154.57x = 1,440,877.15
  5. Step 5: Solve for x
    x = 1,440,877.15/1,154.57
  6. Step 6: Final answer
    x = 1,247.98

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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.