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Finding the Fourth Proportional to 1,071, 1,606.09 and 421.38

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Solution

The fourth proportional to 1,071, 1,606.09 and 421.38 is: 631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071 : 1,606.09 = 421.38 : x
  2. Step 2: Convert to fraction form
    1,071/1,606.09 = 421.38/x
  3. Step 3: Cross multiply
    1,071x = 1,606.09 × 421.38
  4. Step 4: Simplify right side
    1,071x = 676,774.20
  5. Step 5: Solve for x
    x = 676,774.20/1,071
  6. Step 6: Final answer
    x = 631.91

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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.