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Finding the Fourth Proportional to 831.76, 1,147.82 and 453.66

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Solution

The fourth proportional to 831.76, 1,147.82 and 453.66 is: 626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.76 : 1,147.82 = 453.66 : x
  2. Step 2: Convert to fraction form
    831.76/1,147.82 = 453.66/x
  3. Step 3: Cross multiply
    831.76x = 1,147.82 × 453.66
  4. Step 4: Simplify right side
    831.76x = 520,720.02
  5. Step 5: Solve for x
    x = 520,720.02/831.76
  6. Step 6: Final answer
    x = 626.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.