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Finding the Fourth Proportional to 1,203.76, 1,661.21 and 706.22

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Solution

The fourth proportional to 1,203.76, 1,661.21 and 706.22 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.76 : 1,661.21 = 706.22 : x
  2. Step 2: Convert to fraction form
    1,203.76/1,661.21 = 706.22/x
  3. Step 3: Cross multiply
    1,203.76x = 1,661.21 × 706.22
  4. Step 4: Simplify right side
    1,203.76x = 1,173,167.89
  5. Step 5: Solve for x
    x = 1,173,167.89/1,203.76
  6. Step 6: Final answer
    x = 974.59

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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.