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Finding the Fourth Proportional to 1,241.10, 1,712.66 and 717.02

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Solution

The fourth proportional to 1,241.10, 1,712.66 and 717.02 is: 989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.10 : 1,712.66 = 717.02 : x
  2. Step 2: Convert to fraction form
    1,241.10/1,712.66 = 717.02/x
  3. Step 3: Cross multiply
    1,241.10x = 1,712.66 × 717.02
  4. Step 4: Simplify right side
    1,241.10x = 1,228,011.47
  5. Step 5: Solve for x
    x = 1,228,011.47/1,241.10
  6. Step 6: Final answer
    x = 989.45

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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.