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Finding the Fourth Proportional to 1,281.42, 1,767.78 and 757.17

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Solution

The fourth proportional to 1,281.42, 1,767.78 and 757.17 is: 1,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.42 : 1,767.78 = 757.17 : x
  2. Step 2: Convert to fraction form
    1,281.42/1,767.78 = 757.17/x
  3. Step 3: Cross multiply
    1,281.42x = 1,767.78 × 757.17
  4. Step 4: Simplify right side
    1,281.42x = 1,338,509.98
  5. Step 5: Solve for x
    x = 1,338,509.98/1,281.42
  6. Step 6: Final answer
    x = 1,044.55

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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.