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Finding the Fourth Proportional to 1,377.02, 2,066.51 and 760.56

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Solution

The fourth proportional to 1,377.02, 2,066.51 and 760.56 is: 1,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.02 : 2,066.51 = 760.56 : x
  2. Step 2: Convert to fraction form
    1,377.02/2,066.51 = 760.56/x
  3. Step 3: Cross multiply
    1,377.02x = 2,066.51 × 760.56
  4. Step 4: Simplify right side
    1,377.02x = 1,571,701.04
  5. Step 5: Solve for x
    x = 1,571,701.04/1,377.02
  6. Step 6: Final answer
    x = 1,141.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.