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Finding the Fourth Proportional to 911.06, 1,365.23 and 424.02

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Solution

The fourth proportional to 911.06, 1,365.23 and 424.02 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.06 : 1,365.23 = 424.02 : x
  2. Step 2: Convert to fraction form
    911.06/1,365.23 = 424.02/x
  3. Step 3: Cross multiply
    911.06x = 1,365.23 × 424.02
  4. Step 4: Simplify right side
    911.06x = 578,884.82
  5. Step 5: Solve for x
    x = 578,884.82/911.06
  6. Step 6: Final answer
    x = 635.40

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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.