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Finding the Fourth Proportional to 992.18, 1,369.38 and 942.62

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Solution

The fourth proportional to 992.18, 1,369.38 and 942.62 is: 1,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.18 : 1,369.38 = 942.62 : x
  2. Step 2: Convert to fraction form
    992.18/1,369.38 = 942.62/x
  3. Step 3: Cross multiply
    992.18x = 1,369.38 × 942.62
  4. Step 4: Simplify right side
    992.18x = 1,290,798.13
  5. Step 5: Solve for x
    x = 1,290,798.13/992.18
  6. Step 6: Final answer
    x = 1,300.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.