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Finding the Fourth Proportional to 1,451.48, 2,176.97 and 477.60

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Solution

The fourth proportional to 1,451.48, 2,176.97 and 477.60 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.48 : 2,176.97 = 477.60 : x
  2. Step 2: Convert to fraction form
    1,451.48/2,176.97 = 477.60/x
  3. Step 3: Cross multiply
    1,451.48x = 2,176.97 × 477.60
  4. Step 4: Simplify right side
    1,451.48x = 1,039,720.87
  5. Step 5: Solve for x
    x = 1,039,720.87/1,451.48
  6. Step 6: Final answer
    x = 716.32

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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.