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Finding the Fourth Proportional to 1,071.19, 1,609.22 and 706.69

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Solution

The fourth proportional to 1,071.19, 1,609.22 and 706.69 is: 1,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.19 : 1,609.22 = 706.69 : x
  2. Step 2: Convert to fraction form
    1,071.19/1,609.22 = 706.69/x
  3. Step 3: Cross multiply
    1,071.19x = 1,609.22 × 706.69
  4. Step 4: Simplify right side
    1,071.19x = 1,137,219.68
  5. Step 5: Solve for x
    x = 1,137,219.68/1,071.19
  6. Step 6: Final answer
    x = 1,061.64

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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.