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Finding the Fourth Proportional to 831.55, 1,147.45 and 458.51

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Solution

The fourth proportional to 831.55, 1,147.45 and 458.51 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.55 : 1,147.45 = 458.51 : x
  2. Step 2: Convert to fraction form
    831.55/1,147.45 = 458.51/x
  3. Step 3: Cross multiply
    831.55x = 1,147.45 × 458.51
  4. Step 4: Simplify right side
    831.55x = 526,115.01
  5. Step 5: Solve for x
    x = 526,115.01/831.55
  6. Step 6: Final answer
    x = 632.70

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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.