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Finding the Fourth Proportional to 1,451.39, 2,177.69 and 477.56

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Solution

The fourth proportional to 1,451.39, 2,177.69 and 477.56 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.39 : 2,177.69 = 477.56 : x
  2. Step 2: Convert to fraction form
    1,451.39/2,177.69 = 477.56/x
  3. Step 3: Cross multiply
    1,451.39x = 2,177.69 × 477.56
  4. Step 4: Simplify right side
    1,451.39x = 1,039,980.69
  5. Step 5: Solve for x
    x = 1,039,980.69/1,451.39
  6. Step 6: Final answer
    x = 716.54

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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.