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Finding the Fourth Proportional to 1,389.77, 1,917.90 and 760.21

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Solution

The fourth proportional to 1,389.77, 1,917.90 and 760.21 is: 1,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.77 : 1,917.90 = 760.21 : x
  2. Step 2: Convert to fraction form
    1,389.77/1,917.90 = 760.21/x
  3. Step 3: Cross multiply
    1,389.77x = 1,917.90 × 760.21
  4. Step 4: Simplify right side
    1,389.77x = 1,458,004.69
  5. Step 5: Solve for x
    x = 1,458,004.69/1,389.77
  6. Step 6: Final answer
    x = 1,049.10

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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.