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Finding the Fourth Proportional to 992.72, 1,487.12 and 761.84

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Solution

The fourth proportional to 992.72, 1,487.12 and 761.84 is: 1,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.72 : 1,487.12 = 761.84 : x
  2. Step 2: Convert to fraction form
    992.72/1,487.12 = 761.84/x
  3. Step 3: Cross multiply
    992.72x = 1,487.12 × 761.84
  4. Step 4: Simplify right side
    992.72x = 1,132,947.50
  5. Step 5: Solve for x
    x = 1,132,947.50/992.72
  6. Step 6: Final answer
    x = 1,141.26

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Why These Related Problems?

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