Home / 1,323.20-1,983.43-542.87

Finding the Fourth Proportional to 1,323.20, 1,983.43 and 542.87

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Solution

The fourth proportional to 1,323.20, 1,983.43 and 542.87 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.20 : 1,983.43 = 542.87 : x
  2. Step 2: Convert to fraction form
    1,323.20/1,983.43 = 542.87/x
  3. Step 3: Cross multiply
    1,323.20x = 1,983.43 × 542.87
  4. Step 4: Simplify right side
    1,323.20x = 1,076,744.64
  5. Step 5: Solve for x
    x = 1,076,744.64/1,323.20
  6. Step 6: Final answer
    x = 813.74

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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.