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Finding the Fourth Proportional to 993, 1,370.23 and 550.90

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Solution

The fourth proportional to 993, 1,370.23 and 550.90 is: 760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    993 : 1,370.23 = 550.90 : x
  2. Step 2: Convert to fraction form
    993/1,370.23 = 550.90/x
  3. Step 3: Cross multiply
    993x = 1,370.23 × 550.90
  4. Step 4: Simplify right side
    993x = 754,859.71
  5. Step 5: Solve for x
    x = 754,859.71/993
  6. Step 6: Final answer
    x = 760.18

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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.