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Finding the Fourth Proportional to 984.24, 1,358.20 and 542.06

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Solution

The fourth proportional to 984.24, 1,358.20 and 542.06 is: 748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.24 : 1,358.20 = 542.06 : x
  2. Step 2: Convert to fraction form
    984.24/1,358.20 = 542.06/x
  3. Step 3: Cross multiply
    984.24x = 1,358.20 × 542.06
  4. Step 4: Simplify right side
    984.24x = 736,225.89
  5. Step 5: Solve for x
    x = 736,225.89/984.24
  6. Step 6: Final answer
    x = 748.01

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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.