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Finding the Fourth Proportional to 1,253.66, 1,880.51 and 387.99

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Solution

The fourth proportional to 1,253.66, 1,880.51 and 387.99 is: 581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.66 : 1,880.51 = 387.99 : x
  2. Step 2: Convert to fraction form
    1,253.66/1,880.51 = 387.99/x
  3. Step 3: Cross multiply
    1,253.66x = 1,880.51 × 387.99
  4. Step 4: Simplify right side
    1,253.66x = 729,617.13
  5. Step 5: Solve for x
    x = 729,617.13/1,253.66
  6. Step 6: Final answer
    x = 581.99

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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.