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Finding the Fourth Proportional to 1,162.26, 1,739.02 and 715.98

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Solution

The fourth proportional to 1,162.26, 1,739.02 and 715.98 is: 1,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.26 : 1,739.02 = 715.98 : x
  2. Step 2: Convert to fraction form
    1,162.26/1,739.02 = 715.98/x
  3. Step 3: Cross multiply
    1,162.26x = 1,739.02 × 715.98
  4. Step 4: Simplify right side
    1,162.26x = 1,245,103.54
  5. Step 5: Solve for x
    x = 1,245,103.54/1,162.26
  6. Step 6: Final answer
    x = 1,071.28

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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.