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Finding the Fourth Proportional to 984.99, 1,359.30 and 542.90

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Solution

The fourth proportional to 984.99, 1,359.30 and 542.90 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.99 : 1,359.30 = 542.90 : x
  2. Step 2: Convert to fraction form
    984.99/1,359.30 = 542.90/x
  3. Step 3: Cross multiply
    984.99x = 1,359.30 × 542.90
  4. Step 4: Simplify right side
    984.99x = 737,954.46
  5. Step 5: Solve for x
    x = 737,954.46/984.99
  6. Step 6: Final answer
    x = 749.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.