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Finding the Fourth Proportional to 1,451.29, 2,176.94 and 477.47

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Solution

The fourth proportional to 1,451.29, 2,176.94 and 477.47 is: 716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.29 : 2,176.94 = 477.47 : x
  2. Step 2: Convert to fraction form
    1,451.29/2,176.94 = 477.47/x
  3. Step 3: Cross multiply
    1,451.29x = 2,176.94 × 477.47
  4. Step 4: Simplify right side
    1,451.29x = 1,039,423.54
  5. Step 5: Solve for x
    x = 1,039,423.54/1,451.29
  6. Step 6: Final answer
    x = 716.21

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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.