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Finding the Fourth Proportional to 831.39, 1,246.99 and 283.50

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Solution

The fourth proportional to 831.39, 1,246.99 and 283.50 is: 425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.39 : 1,246.99 = 283.50 : x
  2. Step 2: Convert to fraction form
    831.39/1,246.99 = 283.50/x
  3. Step 3: Cross multiply
    831.39x = 1,246.99 × 283.50
  4. Step 4: Simplify right side
    831.39x = 353,521.67
  5. Step 5: Solve for x
    x = 353,521.67/831.39
  6. Step 6: Final answer
    x = 425.22

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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.