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Finding the Fourth Proportional to 1,002.22, 1,382.49 and 706.97

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Solution

The fourth proportional to 1,002.22, 1,382.49 and 706.97 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.22 : 1,382.49 = 706.97 : x
  2. Step 2: Convert to fraction form
    1,002.22/1,382.49 = 706.97/x
  3. Step 3: Cross multiply
    1,002.22x = 1,382.49 × 706.97
  4. Step 4: Simplify right side
    1,002.22x = 977,382.41
  5. Step 5: Solve for x
    x = 977,382.41/1,002.22
  6. Step 6: Final answer
    x = 975.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.