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Finding the Fourth Proportional to 1,346.06, 1,857.66 and 756.78

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Solution

The fourth proportional to 1,346.06, 1,857.66 and 756.78 is: 1,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.06 : 1,857.66 = 756.78 : x
  2. Step 2: Convert to fraction form
    1,346.06/1,857.66 = 756.78/x
  3. Step 3: Cross multiply
    1,346.06x = 1,857.66 × 756.78
  4. Step 4: Simplify right side
    1,346.06x = 1,405,839.93
  5. Step 5: Solve for x
    x = 1,405,839.93/1,346.06
  6. Step 6: Final answer
    x = 1,044.41

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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.