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Finding the Fourth Proportional to 1,092.81, 1,629.99 and 928.65

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Solution

The fourth proportional to 1,092.81, 1,629.99 and 928.65 is: 1,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.81 : 1,629.99 = 928.65 : x
  2. Step 2: Convert to fraction form
    1,092.81/1,629.99 = 928.65/x
  3. Step 3: Cross multiply
    1,092.81x = 1,629.99 × 928.65
  4. Step 4: Simplify right side
    1,092.81x = 1,513,690.21
  5. Step 5: Solve for x
    x = 1,513,690.21/1,092.81
  6. Step 6: Final answer
    x = 1,385.14

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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.