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Finding the Fourth Proportional to 831.83, 1,147.93 and 458.82

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Solution

The fourth proportional to 831.83, 1,147.93 and 458.82 is: 633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.83 : 1,147.93 = 458.82 : x
  2. Step 2: Convert to fraction form
    831.83/1,147.93 = 458.82/x
  3. Step 3: Cross multiply
    831.83x = 1,147.93 × 458.82
  4. Step 4: Simplify right side
    831.83x = 526,695.65
  5. Step 5: Solve for x
    x = 526,695.65/831.83
  6. Step 6: Final answer
    x = 633.18

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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.