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Finding the Fourth Proportional to 1,322.71, 1,983.36 and 542.48

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Solution

The fourth proportional to 1,322.71, 1,983.36 and 542.48 is: 813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.71 : 1,983.36 = 542.48 : x
  2. Step 2: Convert to fraction form
    1,322.71/1,983.36 = 542.48/x
  3. Step 3: Cross multiply
    1,322.71x = 1,983.36 × 542.48
  4. Step 4: Simplify right side
    1,322.71x = 1,075,934.88
  5. Step 5: Solve for x
    x = 1,075,934.88/1,322.71
  6. Step 6: Final answer
    x = 813.43

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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.