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Finding the Fourth Proportional to 1,507.65, 2,080.65 and 844.56

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Solution

The fourth proportional to 1,507.65, 2,080.65 and 844.56 is: 1,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.65 : 2,080.65 = 844.56 : x
  2. Step 2: Convert to fraction form
    1,507.65/2,080.65 = 844.56/x
  3. Step 3: Cross multiply
    1,507.65x = 2,080.65 × 844.56
  4. Step 4: Simplify right side
    1,507.65x = 1,757,236.93
  5. Step 5: Solve for x
    x = 1,757,236.93/1,507.65
  6. Step 6: Final answer
    x = 1,165.55

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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.