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Finding the Fourth Proportional to 992.46, 1,369.02 and 643.14

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Solution

The fourth proportional to 992.46, 1,369.02 and 643.14 is: 887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.46 : 1,369.02 = 643.14 : x
  2. Step 2: Convert to fraction form
    992.46/1,369.02 = 643.14/x
  3. Step 3: Cross multiply
    992.46x = 1,369.02 × 643.14
  4. Step 4: Simplify right side
    992.46x = 880,471.52
  5. Step 5: Solve for x
    x = 880,471.52/992.46
  6. Step 6: Final answer
    x = 887.16

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