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Finding the Fourth Proportional to 897.02, 1,344.84 and 409.73

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Solution

The fourth proportional to 897.02, 1,344.84 and 409.73 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.02 : 1,344.84 = 409.73 : x
  2. Step 2: Convert to fraction form
    897.02/1,344.84 = 409.73/x
  3. Step 3: Cross multiply
    897.02x = 1,344.84 × 409.73
  4. Step 4: Simplify right side
    897.02x = 551,022.32
  5. Step 5: Solve for x
    x = 551,022.32/897.02
  6. Step 6: Final answer
    x = 614.28

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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.