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Finding the Fourth Proportional to 701.77, 1,052.62 and 290.60

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Solution

The fourth proportional to 701.77, 1,052.62 and 290.60 is: 435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.77 : 1,052.62 = 290.60 : x
  2. Step 2: Convert to fraction form
    701.77/1,052.62 = 290.60/x
  3. Step 3: Cross multiply
    701.77x = 1,052.62 × 290.60
  4. Step 4: Simplify right side
    701.77x = 305,891.37
  5. Step 5: Solve for x
    x = 305,891.37/701.77
  6. Step 6: Final answer
    x = 435.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.