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Finding the Fourth Proportional to 1,440.26, 2,158.93 and 562.22

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Solution

The fourth proportional to 1,440.26, 2,158.93 and 562.22 is: 842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.26 : 2,158.93 = 562.22 : x
  2. Step 2: Convert to fraction form
    1,440.26/2,158.93 = 562.22/x
  3. Step 3: Cross multiply
    1,440.26x = 2,158.93 × 562.22
  4. Step 4: Simplify right side
    1,440.26x = 1,213,781.42
  5. Step 5: Solve for x
    x = 1,213,781.42/1,440.26
  6. Step 6: Final answer
    x = 842.75

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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.