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Finding the Fourth Proportional to 992.33, 1,487.49 and 342.65

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Solution

The fourth proportional to 992.33, 1,487.49 and 342.65 is: 513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.33 : 1,487.49 = 342.65 : x
  2. Step 2: Convert to fraction form
    992.33/1,487.49 = 342.65/x
  3. Step 3: Cross multiply
    992.33x = 1,487.49 × 342.65
  4. Step 4: Simplify right side
    992.33x = 509,688.45
  5. Step 5: Solve for x
    x = 509,688.45/992.33
  6. Step 6: Final answer
    x = 513.63

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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.