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Finding the Fourth Proportional to 1,444.10, 2,162.46 and 711.86

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Solution

The fourth proportional to 1,444.10, 2,162.46 and 711.86 is: 1,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.10 : 2,162.46 = 711.86 : x
  2. Step 2: Convert to fraction form
    1,444.10/2,162.46 = 711.86/x
  3. Step 3: Cross multiply
    1,444.10x = 2,162.46 × 711.86
  4. Step 4: Simplify right side
    1,444.10x = 1,539,368.78
  5. Step 5: Solve for x
    x = 1,539,368.78/1,444.10
  6. Step 6: Final answer
    x = 1,065.97

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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.