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Finding the Fourth Proportional to 992.82, 1,370.08 and 550.76

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Solution

The fourth proportional to 992.82, 1,370.08 and 550.76 is: 760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.82 : 1,370.08 = 550.76 : x
  2. Step 2: Convert to fraction form
    992.82/1,370.08 = 550.76/x
  3. Step 3: Cross multiply
    992.82x = 1,370.08 × 550.76
  4. Step 4: Simplify right side
    992.82x = 754,585.26
  5. Step 5: Solve for x
    x = 754,585.26/992.82
  6. Step 6: Final answer
    x = 760.04

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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.