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Finding the Fourth Proportional to 1,204.12, 1,661.46 and 706.78

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Solution

The fourth proportional to 1,204.12, 1,661.46 and 706.78 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.12 : 1,661.46 = 706.78 : x
  2. Step 2: Convert to fraction form
    1,204.12/1,661.46 = 706.78/x
  3. Step 3: Cross multiply
    1,204.12x = 1,661.46 × 706.78
  4. Step 4: Simplify right side
    1,204.12x = 1,174,278.39
  5. Step 5: Solve for x
    x = 1,174,278.39/1,204.12
  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.