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Finding the Fourth Proportional to 831.60, 1,247.58 and 399.12

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Solution

The fourth proportional to 831.60, 1,247.58 and 399.12 is: 598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.60 : 1,247.58 = 399.12 : x
  2. Step 2: Convert to fraction form
    831.60/1,247.58 = 399.12/x
  3. Step 3: Cross multiply
    831.60x = 1,247.58 × 399.12
  4. Step 4: Simplify right side
    831.60x = 497,934.13
  5. Step 5: Solve for x
    x = 497,934.13/831.60
  6. Step 6: Final answer
    x = 598.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.