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Finding the Fourth Proportional to 831.98, 1,246.97 and 368.76

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Solution

The fourth proportional to 831.98, 1,246.97 and 368.76 is: 552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.98 : 1,246.97 = 368.76 : x
  2. Step 2: Convert to fraction form
    831.98/1,246.97 = 368.76/x
  3. Step 3: Cross multiply
    831.98x = 1,246.97 × 368.76
  4. Step 4: Simplify right side
    831.98x = 459,830.81
  5. Step 5: Solve for x
    x = 459,830.81/831.98
  6. Step 6: Final answer
    x = 552.70

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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.