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Finding the Fourth Proportional to 1,356.88, 1,872.68 and 767.41

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Solution

The fourth proportional to 1,356.88, 1,872.68 and 767.41 is: 1,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.88 : 1,872.68 = 767.41 : x
  2. Step 2: Convert to fraction form
    1,356.88/1,872.68 = 767.41/x
  3. Step 3: Cross multiply
    1,356.88x = 1,872.68 × 767.41
  4. Step 4: Simplify right side
    1,356.88x = 1,437,113.36
  5. Step 5: Solve for x
    x = 1,437,113.36/1,356.88
  6. Step 6: Final answer
    x = 1,059.13

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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.