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Finding the Fourth Proportional to 1,246.44, 1,870.22 and 543.86

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Solution

The fourth proportional to 1,246.44, 1,870.22 and 543.86 is: 816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.44 : 1,870.22 = 543.86 : x
  2. Step 2: Convert to fraction form
    1,246.44/1,870.22 = 543.86/x
  3. Step 3: Cross multiply
    1,246.44x = 1,870.22 × 543.86
  4. Step 4: Simplify right side
    1,246.44x = 1,017,145.86
  5. Step 5: Solve for x
    x = 1,017,145.86/1,246.44
  6. Step 6: Final answer
    x = 816.04

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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.