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Finding the Fourth Proportional to 1,071.01, 1,605.82 and 704.69

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Solution

The fourth proportional to 1,071.01, 1,605.82 and 704.69 is: 1,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.01 : 1,605.82 = 704.69 : x
  2. Step 2: Convert to fraction form
    1,071.01/1,605.82 = 704.69/x
  3. Step 3: Cross multiply
    1,071.01x = 1,605.82 × 704.69
  4. Step 4: Simplify right side
    1,071.01x = 1,131,605.30
  5. Step 5: Solve for x
    x = 1,131,605.30/1,071.01
  6. Step 6: Final answer
    x = 1,056.58

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