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Finding the Fourth Proportional to 861.77, 1,293 and 314

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Solution

The fourth proportional to 861.77, 1,293 and 314 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.77 : 1,293 = 314 : x
  2. Step 2: Convert to fraction form
    861.77/1,293 = 314/x
  3. Step 3: Cross multiply
    861.77x = 1,293 × 314
  4. Step 4: Simplify right side
    861.77x = 406,002
  5. Step 5: Solve for x
    x = 406,002/861.77
  6. Step 6: Final answer
    x = 471.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.