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Finding the Fourth Proportional to 1,507.83, 2,080.76 and 844.76

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Solution

The fourth proportional to 1,507.83, 2,080.76 and 844.76 is: 1,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.83 : 2,080.76 = 844.76 : x
  2. Step 2: Convert to fraction form
    1,507.83/2,080.76 = 844.76/x
  3. Step 3: Cross multiply
    1,507.83x = 2,080.76 × 844.76
  4. Step 4: Simplify right side
    1,507.83x = 1,757,728.19
  5. Step 5: Solve for x
    x = 1,757,728.19/1,507.83
  6. Step 6: Final answer
    x = 1,165.73

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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.