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Finding the Fourth Proportional to 831.96, 1,247.94 and 589.50

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Solution

The fourth proportional to 831.96, 1,247.94 and 589.50 is: 884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.96 : 1,247.94 = 589.50 : x
  2. Step 2: Convert to fraction form
    831.96/1,247.94 = 589.50/x
  3. Step 3: Cross multiply
    831.96x = 1,247.94 × 589.50
  4. Step 4: Simplify right side
    831.96x = 735,660.63
  5. Step 5: Solve for x
    x = 735,660.63/831.96
  6. Step 6: Final answer
    x = 884.25

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Why These Related Problems?

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