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Finding the Fourth Proportional to 1,246.86, 1,720.69 and 687.35

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Solution

The fourth proportional to 1,246.86, 1,720.69 and 687.35 is: 948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.86 : 1,720.69 = 687.35 : x
  2. Step 2: Convert to fraction form
    1,246.86/1,720.69 = 687.35/x
  3. Step 3: Cross multiply
    1,246.86x = 1,720.69 × 687.35
  4. Step 4: Simplify right side
    1,246.86x = 1,182,718.85
  5. Step 5: Solve for x
    x = 1,182,718.85/1,246.86
  6. Step 6: Final answer
    x = 948.56

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Why These Related Problems?

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