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Finding the Fourth Proportional to 993.62, 1,371.33 and 574.11

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Solution

The fourth proportional to 993.62, 1,371.33 and 574.11 is: 792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.62 : 1,371.33 = 574.11 : x
  2. Step 2: Convert to fraction form
    993.62/1,371.33 = 574.11/x
  3. Step 3: Cross multiply
    993.62x = 1,371.33 × 574.11
  4. Step 4: Simplify right side
    993.62x = 787,294.27
  5. Step 5: Solve for x
    x = 787,294.27/993.62
  6. Step 6: Final answer
    x = 792.35

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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.