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Finding the Fourth Proportional to 844.08, 1,265.53 and 405.10

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Solution

The fourth proportional to 844.08, 1,265.53 and 405.10 is: 607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.08 : 1,265.53 = 405.10 : x
  2. Step 2: Convert to fraction form
    844.08/1,265.53 = 405.10/x
  3. Step 3: Cross multiply
    844.08x = 1,265.53 × 405.10
  4. Step 4: Simplify right side
    844.08x = 512,666.20
  5. Step 5: Solve for x
    x = 512,666.20/844.08
  6. Step 6: Final answer
    x = 607.37

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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.