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Finding the Fourth Proportional to 1,245.08, 1,866.54 and 731

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Solution

The fourth proportional to 1,245.08, 1,866.54 and 731 is: 1,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.08 : 1,866.54 = 731 : x
  2. Step 2: Convert to fraction form
    1,245.08/1,866.54 = 731/x
  3. Step 3: Cross multiply
    1,245.08x = 1,866.54 × 731
  4. Step 4: Simplify right side
    1,245.08x = 1,364,440.74
  5. Step 5: Solve for x
    x = 1,364,440.74/1,245.08
  6. Step 6: Final answer
    x = 1,095.87

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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.