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Finding the Fourth Proportional to 831.66, 1,147.32 and 482.15

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Solution

The fourth proportional to 831.66, 1,147.32 and 482.15 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.66 : 1,147.32 = 482.15 : x
  2. Step 2: Convert to fraction form
    831.66/1,147.32 = 482.15/x
  3. Step 3: Cross multiply
    831.66x = 1,147.32 × 482.15
  4. Step 4: Simplify right side
    831.66x = 553,174.60
  5. Step 5: Solve for x
    x = 553,174.60/831.66
  6. Step 6: Final answer
    x = 665.15

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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.