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Finding the Fourth Proportional to 1,247.96, 1,871.95 and 323.45

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Solution

The fourth proportional to 1,247.96, 1,871.95 and 323.45 is: 485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.96 : 1,871.95 = 323.45 : x
  2. Step 2: Convert to fraction form
    1,247.96/1,871.95 = 323.45/x
  3. Step 3: Cross multiply
    1,247.96x = 1,871.95 × 323.45
  4. Step 4: Simplify right side
    1,247.96x = 605,480.61
  5. Step 5: Solve for x
    x = 605,480.61/1,247.96
  6. Step 6: Final answer
    x = 485.18

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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.