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Finding the Fourth Proportional to 1,340.24, 2,010.24 and 462.66

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Solution

The fourth proportional to 1,340.24, 2,010.24 and 462.66 is: 693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.24 : 2,010.24 = 462.66 : x
  2. Step 2: Convert to fraction form
    1,340.24/2,010.24 = 462.66/x
  3. Step 3: Cross multiply
    1,340.24x = 2,010.24 × 462.66
  4. Step 4: Simplify right side
    1,340.24x = 930,057.64
  5. Step 5: Solve for x
    x = 930,057.64/1,340.24
  6. Step 6: Final answer
    x = 693.95

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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.