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Finding the Fourth Proportional to 1,203.73, 1,661.09 and 706.34

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Solution

The fourth proportional to 1,203.73, 1,661.09 and 706.34 is: 974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.73 : 1,661.09 = 706.34 : x
  2. Step 2: Convert to fraction form
    1,203.73/1,661.09 = 706.34/x
  3. Step 3: Cross multiply
    1,203.73x = 1,661.09 × 706.34
  4. Step 4: Simplify right side
    1,203.73x = 1,173,294.93
  5. Step 5: Solve for x
    x = 1,173,294.93/1,203.73
  6. Step 6: Final answer
    x = 974.72

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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.