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Finding the Fourth Proportional to 993.85, 1,484.30 and 901.11

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Solution

The fourth proportional to 993.85, 1,484.30 and 901.11 is: 1,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.85 : 1,484.30 = 901.11 : x
  2. Step 2: Convert to fraction form
    993.85/1,484.30 = 901.11/x
  3. Step 3: Cross multiply
    993.85x = 1,484.30 × 901.11
  4. Step 4: Simplify right side
    993.85x = 1,337,517.57
  5. Step 5: Solve for x
    x = 1,337,517.57/993.85
  6. Step 6: Final answer
    x = 1,345.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.