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Finding the Fourth Proportional to 1,451.41, 2,177.16 and 477.58

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Solution

The fourth proportional to 1,451.41, 2,177.16 and 477.58 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.41 : 2,177.16 = 477.58 : x
  2. Step 2: Convert to fraction form
    1,451.41/2,177.16 = 477.58/x
  3. Step 3: Cross multiply
    1,451.41x = 2,177.16 × 477.58
  4. Step 4: Simplify right side
    1,451.41x = 1,039,768.07
  5. Step 5: Solve for x
    x = 1,039,768.07/1,451.41
  6. Step 6: Final answer
    x = 716.38

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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.