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Finding the Fourth Proportional to 1,063.74, 1,593.49 and 831.55

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Solution

The fourth proportional to 1,063.74, 1,593.49 and 831.55 is: 1,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.74 : 1,593.49 = 831.55 : x
  2. Step 2: Convert to fraction form
    1,063.74/1,593.49 = 831.55/x
  3. Step 3: Cross multiply
    1,063.74x = 1,593.49 × 831.55
  4. Step 4: Simplify right side
    1,063.74x = 1,325,066.61
  5. Step 5: Solve for x
    x = 1,325,066.61/1,063.74
  6. Step 6: Final answer
    x = 1,245.67

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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.