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Finding the Fourth Proportional to 697.02, 1,043.37 and 409.02

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Solution

The fourth proportional to 697.02, 1,043.37 and 409.02 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.02 : 1,043.37 = 409.02 : x
  2. Step 2: Convert to fraction form
    697.02/1,043.37 = 409.02/x
  3. Step 3: Cross multiply
    697.02x = 1,043.37 × 409.02
  4. Step 4: Simplify right side
    697.02x = 426,759.20
  5. Step 5: Solve for x
    x = 426,759.20/697.02
  6. Step 6: Final answer
    x = 612.26

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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.