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Finding the Fourth Proportional to 1,071.33, 1,609.69 and 681.50

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Solution

The fourth proportional to 1,071.33, 1,609.69 and 681.50 is: 1,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.33 : 1,609.69 = 681.50 : x
  2. Step 2: Convert to fraction form
    1,071.33/1,609.69 = 681.50/x
  3. Step 3: Cross multiply
    1,071.33x = 1,609.69 × 681.50
  4. Step 4: Simplify right side
    1,071.33x = 1,097,002.19
  5. Step 5: Solve for x
    x = 1,097,002.19/1,071.33
  6. Step 6: Final answer
    x = 1,023.97

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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.