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Finding the Fourth Proportional to 1,245.66, 1,718.18 and 804.12

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Solution

The fourth proportional to 1,245.66, 1,718.18 and 804.12 is: 1,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.66 : 1,718.18 = 804.12 : x
  2. Step 2: Convert to fraction form
    1,245.66/1,718.18 = 804.12/x
  3. Step 3: Cross multiply
    1,245.66x = 1,718.18 × 804.12
  4. Step 4: Simplify right side
    1,245.66x = 1,381,622.90
  5. Step 5: Solve for x
    x = 1,381,622.90/1,245.66
  6. Step 6: Final answer
    x = 1,109.15

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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.