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Finding the Fourth Proportional to 1,156.56, 1,733.22 and 831.21

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Solution

The fourth proportional to 1,156.56, 1,733.22 and 831.21 is: 1,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.56 : 1,733.22 = 831.21 : x
  2. Step 2: Convert to fraction form
    1,156.56/1,733.22 = 831.21/x
  3. Step 3: Cross multiply
    1,156.56x = 1,733.22 × 831.21
  4. Step 4: Simplify right side
    1,156.56x = 1,440,669.80
  5. Step 5: Solve for x
    x = 1,440,669.80/1,156.56
  6. Step 6: Final answer
    x = 1,245.65

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Why These Related Problems?

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