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Finding the Fourth Proportional to 1,216.29, 1,677.80 and 718.89

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Solution

The fourth proportional to 1,216.29, 1,677.80 and 718.89 is: 991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.29 : 1,677.80 = 718.89 : x
  2. Step 2: Convert to fraction form
    1,216.29/1,677.80 = 718.89/x
  3. Step 3: Cross multiply
    1,216.29x = 1,677.80 × 718.89
  4. Step 4: Simplify right side
    1,216.29x = 1,206,150.05
  5. Step 5: Solve for x
    x = 1,206,150.05/1,216.29
  6. Step 6: Final answer
    x = 991.66

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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.