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Finding the Fourth Proportional to 993.48, 1,489.04 and 749.20

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Solution

The fourth proportional to 993.48, 1,489.04 and 749.20 is: 1,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.48 : 1,489.04 = 749.20 : x
  2. Step 2: Convert to fraction form
    993.48/1,489.04 = 749.20/x
  3. Step 3: Cross multiply
    993.48x = 1,489.04 × 749.20
  4. Step 4: Simplify right side
    993.48x = 1,115,588.77
  5. Step 5: Solve for x
    x = 1,115,588.77/993.48
  6. Step 6: Final answer
    x = 1,122.91

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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.