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Finding the Fourth Proportional to 992.01, 1,487.01 and 342.18

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Solution

The fourth proportional to 992.01, 1,487.01 and 342.18 is: 512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.01 : 1,487.01 = 342.18 : x
  2. Step 2: Convert to fraction form
    992.01/1,487.01 = 342.18/x
  3. Step 3: Cross multiply
    992.01x = 1,487.01 × 342.18
  4. Step 4: Simplify right side
    992.01x = 508,825.08
  5. Step 5: Solve for x
    x = 508,825.08/992.01
  6. Step 6: Final answer
    x = 512.92

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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.