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Finding the Fourth Proportional to 831.55, 1,147.46 and 458.44

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Solution

The fourth proportional to 831.55, 1,147.46 and 458.44 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.55 : 1,147.46 = 458.44 : x
  2. Step 2: Convert to fraction form
    831.55/1,147.46 = 458.44/x
  3. Step 3: Cross multiply
    831.55x = 1,147.46 × 458.44
  4. Step 4: Simplify right side
    831.55x = 526,041.56
  5. Step 5: Solve for x
    x = 526,041.56/831.55
  6. Step 6: Final answer
    x = 632.60

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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.