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Finding the Fourth Proportional to 1,068.75, 1,476.09 and 718.83

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Solution

The fourth proportional to 1,068.75, 1,476.09 and 718.83 is: 992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.75 : 1,476.09 = 718.83 : x
  2. Step 2: Convert to fraction form
    1,068.75/1,476.09 = 718.83/x
  3. Step 3: Cross multiply
    1,068.75x = 1,476.09 × 718.83
  4. Step 4: Simplify right side
    1,068.75x = 1,061,057.77
  5. Step 5: Solve for x
    x = 1,061,057.77/1,068.75
  6. Step 6: Final answer
    x = 992.80

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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.