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Finding the Fourth Proportional to 1,121.77, 1,547.79 and 679.66

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Solution

The fourth proportional to 1,121.77, 1,547.79 and 679.66 is: 937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.77 : 1,547.79 = 679.66 : x
  2. Step 2: Convert to fraction form
    1,121.77/1,547.79 = 679.66/x
  3. Step 3: Cross multiply
    1,121.77x = 1,547.79 × 679.66
  4. Step 4: Simplify right side
    1,121.77x = 1,051,970.95
  5. Step 5: Solve for x
    x = 1,051,970.95/1,121.77
  6. Step 6: Final answer
    x = 937.78

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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.