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Finding the Fourth Proportional to 1,366.96, 1,886.34 and 777.43

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Solution

The fourth proportional to 1,366.96, 1,886.34 and 777.43 is: 1,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.96 : 1,886.34 = 777.43 : x
  2. Step 2: Convert to fraction form
    1,366.96/1,886.34 = 777.43/x
  3. Step 3: Cross multiply
    1,366.96x = 1,886.34 × 777.43
  4. Step 4: Simplify right side
    1,366.96x = 1,466,497.31
  5. Step 5: Solve for x
    x = 1,466,497.31/1,366.96
  6. Step 6: Final answer
    x = 1,072.82

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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.