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Finding the Fourth Proportional to 831.78, 1,147.86 and 537.75

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Solution

The fourth proportional to 831.78, 1,147.86 and 537.75 is: 742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.78 : 1,147.86 = 537.75 : x
  2. Step 2: Convert to fraction form
    831.78/1,147.86 = 537.75/x
  3. Step 3: Cross multiply
    831.78x = 1,147.86 × 537.75
  4. Step 4: Simplify right side
    831.78x = 617,261.72
  5. Step 5: Solve for x
    x = 617,261.72/831.78
  6. Step 6: Final answer
    x = 742.10

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