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Finding the Fourth Proportional to 1,241.45, 1,713.29 and 710.49

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Solution

The fourth proportional to 1,241.45, 1,713.29 and 710.49 is: 980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.45 : 1,713.29 = 710.49 : x
  2. Step 2: Convert to fraction form
    1,241.45/1,713.29 = 710.49/x
  3. Step 3: Cross multiply
    1,241.45x = 1,713.29 × 710.49
  4. Step 4: Simplify right side
    1,241.45x = 1,217,271.86
  5. Step 5: Solve for x
    x = 1,217,271.86/1,241.45
  6. Step 6: Final answer
    x = 980.53

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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.