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Finding the Fourth Proportional to 1,367.20, 1,886.67 and 777.72

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Solution

The fourth proportional to 1,367.20, 1,886.67 and 777.72 is: 1,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.20 : 1,886.67 = 777.72 : x
  2. Step 2: Convert to fraction form
    1,367.20/1,886.67 = 777.72/x
  3. Step 3: Cross multiply
    1,367.20x = 1,886.67 × 777.72
  4. Step 4: Simplify right side
    1,367.20x = 1,467,300.99
  5. Step 5: Solve for x
    x = 1,467,300.99/1,367.20
  6. Step 6: Final answer
    x = 1,073.22

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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.