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Finding the Fourth Proportional to 992.10, 1,488.24 and 945.48

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Solution

The fourth proportional to 992.10, 1,488.24 and 945.48 is: 1,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.10 : 1,488.24 = 945.48 : x
  2. Step 2: Convert to fraction form
    992.10/1,488.24 = 945.48/x
  3. Step 3: Cross multiply
    992.10x = 1,488.24 × 945.48
  4. Step 4: Simplify right side
    992.10x = 1,407,101.16
  5. Step 5: Solve for x
    x = 1,407,101.16/992.10
  6. Step 6: Final answer
    x = 1,418.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.