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Finding the Fourth Proportional to 1,246.78, 1,720.52 and 687.24

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Solution

The fourth proportional to 1,246.78, 1,720.52 and 687.24 is: 948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.78 : 1,720.52 = 687.24 : x
  2. Step 2: Convert to fraction form
    1,246.78/1,720.52 = 687.24/x
  3. Step 3: Cross multiply
    1,246.78x = 1,720.52 × 687.24
  4. Step 4: Simplify right side
    1,246.78x = 1,182,410.16
  5. Step 5: Solve for x
    x = 1,182,410.16/1,246.78
  6. Step 6: Final answer
    x = 948.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.