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Finding the Fourth Proportional to 831.29, 1,246.53 and 475.06

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Solution

The fourth proportional to 831.29, 1,246.53 and 475.06 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.29 : 1,246.53 = 475.06 : x
  2. Step 2: Convert to fraction form
    831.29/1,246.53 = 475.06/x
  3. Step 3: Cross multiply
    831.29x = 1,246.53 × 475.06
  4. Step 4: Simplify right side
    831.29x = 592,171.05
  5. Step 5: Solve for x
    x = 592,171.05/831.29
  6. Step 6: Final answer
    x = 712.35

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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.