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Finding the Fourth Proportional to 1,071.68, 1,607.31 and 422.26

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Solution

The fourth proportional to 1,071.68, 1,607.31 and 422.26 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.68 : 1,607.31 = 422.26 : x
  2. Step 2: Convert to fraction form
    1,071.68/1,607.31 = 422.26/x
  3. Step 3: Cross multiply
    1,071.68x = 1,607.31 × 422.26
  4. Step 4: Simplify right side
    1,071.68x = 678,698.70
  5. Step 5: Solve for x
    x = 678,698.70/1,071.68
  6. Step 6: Final answer
    x = 633.31

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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.