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Finding the Fourth Proportional to 1,204.41, 1,662.07 and 706.96

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Solution

The fourth proportional to 1,204.41, 1,662.07 and 706.96 is: 975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.41 : 1,662.07 = 706.96 : x
  2. Step 2: Convert to fraction form
    1,204.41/1,662.07 = 706.96/x
  3. Step 3: Cross multiply
    1,204.41x = 1,662.07 × 706.96
  4. Step 4: Simplify right side
    1,204.41x = 1,175,018.64
  5. Step 5: Solve for x
    x = 1,175,018.64/1,204.41
  6. Step 6: Final answer
    x = 975.60

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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.