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Finding the Fourth Proportional to 1,439.71, 2,159.02 and 452.41

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Solution

The fourth proportional to 1,439.71, 2,159.02 and 452.41 is: 678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.71 : 2,159.02 = 452.41 : x
  2. Step 2: Convert to fraction form
    1,439.71/2,159.02 = 452.41/x
  3. Step 3: Cross multiply
    1,439.71x = 2,159.02 × 452.41
  4. Step 4: Simplify right side
    1,439.71x = 976,762.24
  5. Step 5: Solve for x
    x = 976,762.24/1,439.71
  6. Step 6: Final answer
    x = 678.44

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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.