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Finding the Fourth Proportional to 1,451.41, 2,176.66 and 477.29

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Solution

The fourth proportional to 1,451.41, 2,176.66 and 477.29 is: 715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.41 : 2,176.66 = 477.29 : x
  2. Step 2: Convert to fraction form
    1,451.41/2,176.66 = 477.29/x
  3. Step 3: Cross multiply
    1,451.41x = 2,176.66 × 477.29
  4. Step 4: Simplify right side
    1,451.41x = 1,038,884.78
  5. Step 5: Solve for x
    x = 1,038,884.78/1,451.41
  6. Step 6: Final answer
    x = 715.78

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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.