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Finding the Fourth Proportional to 1,245.48, 1,718.86 and 686.06

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Solution

The fourth proportional to 1,245.48, 1,718.86 and 686.06 is: 946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.48 : 1,718.86 = 686.06 : x
  2. Step 2: Convert to fraction form
    1,245.48/1,718.86 = 686.06/x
  3. Step 3: Cross multiply
    1,245.48x = 1,718.86 × 686.06
  4. Step 4: Simplify right side
    1,245.48x = 1,179,241.09
  5. Step 5: Solve for x
    x = 1,179,241.09/1,245.48
  6. Step 6: Final answer
    x = 946.82

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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.