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Finding the Fourth Proportional to 1,071.82, 1,607.23 and 455.20

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Solution

The fourth proportional to 1,071.82, 1,607.23 and 455.20 is: 682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.82 : 1,607.23 = 455.20 : x
  2. Step 2: Convert to fraction form
    1,071.82/1,607.23 = 455.20/x
  3. Step 3: Cross multiply
    1,071.82x = 1,607.23 × 455.20
  4. Step 4: Simplify right side
    1,071.82x = 731,611.10
  5. Step 5: Solve for x
    x = 731,611.10/1,071.82
  6. Step 6: Final answer
    x = 682.59

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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.