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Finding the Fourth Proportional to 1,420.66, 2,127.78 and 690.76

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Solution

The fourth proportional to 1,420.66, 2,127.78 and 690.76 is: 1,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.66 : 2,127.78 = 690.76 : x
  2. Step 2: Convert to fraction form
    1,420.66/2,127.78 = 690.76/x
  3. Step 3: Cross multiply
    1,420.66x = 2,127.78 × 690.76
  4. Step 4: Simplify right side
    1,420.66x = 1,469,785.31
  5. Step 5: Solve for x
    x = 1,469,785.31/1,420.66
  6. Step 6: Final answer
    x = 1,034.58

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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.