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Finding the Fourth Proportional to 1,507.93, 2,081.03 and 844.78

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Solution

The fourth proportional to 1,507.93, 2,081.03 and 844.78 is: 1,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.93 : 2,081.03 = 844.78 : x
  2. Step 2: Convert to fraction form
    1,507.93/2,081.03 = 844.78/x
  3. Step 3: Cross multiply
    1,507.93x = 2,081.03 × 844.78
  4. Step 4: Simplify right side
    1,507.93x = 1,758,012.52
  5. Step 5: Solve for x
    x = 1,758,012.52/1,507.93
  6. Step 6: Final answer
    x = 1,165.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.