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Finding the Fourth Proportional to 831.32, 1,147.15 and 482.03

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Solution

The fourth proportional to 831.32, 1,147.15 and 482.03 is: 665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.32 : 1,147.15 = 482.03 : x
  2. Step 2: Convert to fraction form
    831.32/1,147.15 = 482.03/x
  3. Step 3: Cross multiply
    831.32x = 1,147.15 × 482.03
  4. Step 4: Simplify right side
    831.32x = 552,960.71
  5. Step 5: Solve for x
    x = 552,960.71/831.32
  6. Step 6: Final answer
    x = 665.16

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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.