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Finding the Fourth Proportional to 1,068.83, 1,465.57 and 963.49

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Solution

The fourth proportional to 1,068.83, 1,465.57 and 963.49 is: 1,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.83 : 1,465.57 = 963.49 : x
  2. Step 2: Convert to fraction form
    1,068.83/1,465.57 = 963.49/x
  3. Step 3: Cross multiply
    1,068.83x = 1,465.57 × 963.49
  4. Step 4: Simplify right side
    1,068.83x = 1,412,062.04
  5. Step 5: Solve for x
    x = 1,412,062.04/1,068.83
  6. Step 6: Final answer
    x = 1,321.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.