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Finding the Fourth Proportional to 701.65, 1,052.43 and 290.51

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Solution

The fourth proportional to 701.65, 1,052.43 and 290.51 is: 435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.65 : 1,052.43 = 290.51 : x
  2. Step 2: Convert to fraction form
    701.65/1,052.43 = 290.51/x
  3. Step 3: Cross multiply
    701.65x = 1,052.43 × 290.51
  4. Step 4: Simplify right side
    701.65x = 305,741.44
  5. Step 5: Solve for x
    x = 305,741.44/701.65
  6. Step 6: Final answer
    x = 435.75

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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.