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Finding the Fourth Proportional to 710.87, 1,064.41 and 402.26

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Solution

The fourth proportional to 710.87, 1,064.41 and 402.26 is: 602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.87 : 1,064.41 = 402.26 : x
  2. Step 2: Convert to fraction form
    710.87/1,064.41 = 402.26/x
  3. Step 3: Cross multiply
    710.87x = 1,064.41 × 402.26
  4. Step 4: Simplify right side
    710.87x = 428,163.24
  5. Step 5: Solve for x
    x = 428,163.24/710.87
  6. Step 6: Final answer
    x = 602.31

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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.