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Finding the Fourth Proportional to 1,377.01, 2,066.54 and 761.25

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Solution

The fourth proportional to 1,377.01, 2,066.54 and 761.25 is: 1,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.01 : 2,066.54 = 761.25 : x
  2. Step 2: Convert to fraction form
    1,377.01/2,066.54 = 761.25/x
  3. Step 3: Cross multiply
    1,377.01x = 2,066.54 × 761.25
  4. Step 4: Simplify right side
    1,377.01x = 1,573,153.58
  5. Step 5: Solve for x
    x = 1,573,153.58/1,377.01
  6. Step 6: Final answer
    x = 1,142.44

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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.