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Finding the Fourth Proportional to 1,092.69, 1,631.72 and 858.95

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Solution

The fourth proportional to 1,092.69, 1,631.72 and 858.95 is: 1,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.69 : 1,631.72 = 858.95 : x
  2. Step 2: Convert to fraction form
    1,092.69/1,631.72 = 858.95/x
  3. Step 3: Cross multiply
    1,092.69x = 1,631.72 × 858.95
  4. Step 4: Simplify right side
    1,092.69x = 1,401,572.76
  5. Step 5: Solve for x
    x = 1,401,572.76/1,092.69
  6. Step 6: Final answer
    x = 1,282.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.