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Finding the Fourth Proportional to 992.45, 1,487.23 and 731.23

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Solution

The fourth proportional to 992.45, 1,487.23 and 731.23 is: 1,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.45 : 1,487.23 = 731.23 : x
  2. Step 2: Convert to fraction form
    992.45/1,487.23 = 731.23/x
  3. Step 3: Cross multiply
    992.45x = 1,487.23 × 731.23
  4. Step 4: Simplify right side
    992.45x = 1,087,501.65
  5. Step 5: Solve for x
    x = 1,087,501.65/992.45
  6. Step 6: Final answer
    x = 1,095.77

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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.