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Finding the Fourth Proportional to 1,129.83, 1,693.13 and 544.65

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Solution

The fourth proportional to 1,129.83, 1,693.13 and 544.65 is: 816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.83 : 1,693.13 = 544.65 : x
  2. Step 2: Convert to fraction form
    1,129.83/1,693.13 = 544.65/x
  3. Step 3: Cross multiply
    1,129.83x = 1,693.13 × 544.65
  4. Step 4: Simplify right side
    1,129.83x = 922,160.53
  5. Step 5: Solve for x
    x = 922,160.53/1,129.83
  6. Step 6: Final answer
    x = 816.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.