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Finding the Fourth Proportional to 1,439.71, 2,159.13 and 399.46

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Solution

The fourth proportional to 1,439.71, 2,159.13 and 399.46 is: 599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.71 : 2,159.13 = 399.46 : x
  2. Step 2: Convert to fraction form
    1,439.71/2,159.13 = 399.46/x
  3. Step 3: Cross multiply
    1,439.71x = 2,159.13 × 399.46
  4. Step 4: Simplify right side
    1,439.71x = 862,486.07
  5. Step 5: Solve for x
    x = 862,486.07/1,439.71
  6. Step 6: Final answer
    x = 599.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.