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Finding the Fourth Proportional to 831.95, 1,246.81 and 466.03

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Solution

The fourth proportional to 831.95, 1,246.81 and 466.03 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.95 : 1,246.81 = 466.03 : x
  2. Step 2: Convert to fraction form
    831.95/1,246.81 = 466.03/x
  3. Step 3: Cross multiply
    831.95x = 1,246.81 × 466.03
  4. Step 4: Simplify right side
    831.95x = 581,050.86
  5. Step 5: Solve for x
    x = 581,050.86/831.95
  6. Step 6: Final answer
    x = 698.42

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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.