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Finding the Fourth Proportional to 1,204.23, 1,661.77 and 706.95

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Solution

The fourth proportional to 1,204.23, 1,661.77 and 706.95 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.23 : 1,661.77 = 706.95 : x
  2. Step 2: Convert to fraction form
    1,204.23/1,661.77 = 706.95/x
  3. Step 3: Cross multiply
    1,204.23x = 1,661.77 × 706.95
  4. Step 4: Simplify right side
    1,204.23x = 1,174,788.30
  5. Step 5: Solve for x
    x = 1,174,788.30/1,204.23
  6. Step 6: Final answer
    x = 975.55

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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.