Home / 1,563.04-2,343.12-831.76

Finding the Fourth Proportional to 1,563.04, 2,343.12 and 831.76

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Solution

The fourth proportional to 1,563.04, 2,343.12 and 831.76 is: 1,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.04 : 2,343.12 = 831.76 : x
  2. Step 2: Convert to fraction form
    1,563.04/2,343.12 = 831.76/x
  3. Step 3: Cross multiply
    1,563.04x = 2,343.12 × 831.76
  4. Step 4: Simplify right side
    1,563.04x = 1,948,913.49
  5. Step 5: Solve for x
    x = 1,948,913.49/1,563.04
  6. Step 6: Final answer
    x = 1,246.87

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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.