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Finding the Fourth Proportional to 911.03, 1,364.65 and 424.49

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Solution

The fourth proportional to 911.03, 1,364.65 and 424.49 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.03 : 1,364.65 = 424.49 : x
  2. Step 2: Convert to fraction form
    911.03/1,364.65 = 424.49/x
  3. Step 3: Cross multiply
    911.03x = 1,364.65 × 424.49
  4. Step 4: Simplify right side
    911.03x = 579,272.39
  5. Step 5: Solve for x
    x = 579,272.39/911.03
  6. Step 6: Final answer
    x = 635.85

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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.