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Finding the Fourth Proportional to 1,497.12, 2,246.20 and 767.24

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Solution

The fourth proportional to 1,497.12, 2,246.20 and 767.24 is: 1,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.12 : 2,246.20 = 767.24 : x
  2. Step 2: Convert to fraction form
    1,497.12/2,246.20 = 767.24/x
  3. Step 3: Cross multiply
    1,497.12x = 2,246.20 × 767.24
  4. Step 4: Simplify right side
    1,497.12x = 1,723,374.49
  5. Step 5: Solve for x
    x = 1,723,374.49/1,497.12
  6. Step 6: Final answer
    x = 1,151.13

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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.