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Finding the Fourth Proportional to 1,203.98, 1,661.33 and 706.52

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Solution

The fourth proportional to 1,203.98, 1,661.33 and 706.52 is: 974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.98 : 1,661.33 = 706.52 : x
  2. Step 2: Convert to fraction form
    1,203.98/1,661.33 = 706.52/x
  3. Step 3: Cross multiply
    1,203.98x = 1,661.33 × 706.52
  4. Step 4: Simplify right side
    1,203.98x = 1,173,751.03
  5. Step 5: Solve for x
    x = 1,173,751.03/1,203.98
  6. Step 6: Final answer
    x = 974.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.