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Finding the Fourth Proportional to 1,068.27, 1,473.57 and 788.01

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Solution

The fourth proportional to 1,068.27, 1,473.57 and 788.01 is: 1,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.27 : 1,473.57 = 788.01 : x
  2. Step 2: Convert to fraction form
    1,068.27/1,473.57 = 788.01/x
  3. Step 3: Cross multiply
    1,068.27x = 1,473.57 × 788.01
  4. Step 4: Simplify right side
    1,068.27x = 1,161,187.90
  5. Step 5: Solve for x
    x = 1,161,187.90/1,068.27
  6. Step 6: Final answer
    x = 1,086.98

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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.