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Finding the Fourth Proportional to 992.46, 1,369.24 and 619.18

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Solution

The fourth proportional to 992.46, 1,369.24 and 619.18 is: 854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.46 : 1,369.24 = 619.18 : x
  2. Step 2: Convert to fraction form
    992.46/1,369.24 = 619.18/x
  3. Step 3: Cross multiply
    992.46x = 1,369.24 × 619.18
  4. Step 4: Simplify right side
    992.46x = 847,806.02
  5. Step 5: Solve for x
    x = 847,806.02/992.46
  6. Step 6: Final answer
    x = 854.25

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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.