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Finding the Fourth Proportional to 831.56, 1,147.50 and 477.54

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Solution

The fourth proportional to 831.56, 1,147.50 and 477.54 is: 658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.56 : 1,147.50 = 477.54 : x
  2. Step 2: Convert to fraction form
    831.56/1,147.50 = 477.54/x
  3. Step 3: Cross multiply
    831.56x = 1,147.50 × 477.54
  4. Step 4: Simplify right side
    831.56x = 547,977.15
  5. Step 5: Solve for x
    x = 547,977.15/831.56
  6. Step 6: Final answer
    x = 658.98

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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.