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Finding the Fourth Proportional to 1,440.13, 2,158.74 and 562.09

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Solution

The fourth proportional to 1,440.13, 2,158.74 and 562.09 is: 842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.13 : 2,158.74 = 562.09 : x
  2. Step 2: Convert to fraction form
    1,440.13/2,158.74 = 562.09/x
  3. Step 3: Cross multiply
    1,440.13x = 2,158.74 × 562.09
  4. Step 4: Simplify right side
    1,440.13x = 1,213,406.17
  5. Step 5: Solve for x
    x = 1,213,406.17/1,440.13
  6. Step 6: Final answer
    x = 842.57

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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.