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Finding the Fourth Proportional to 727.26, 1,090.08 and 288.11

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Solution

The fourth proportional to 727.26, 1,090.08 and 288.11 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.26 : 1,090.08 = 288.11 : x
  2. Step 2: Convert to fraction form
    727.26/1,090.08 = 288.11/x
  3. Step 3: Cross multiply
    727.26x = 1,090.08 × 288.11
  4. Step 4: Simplify right side
    727.26x = 314,057.50
  5. Step 5: Solve for x
    x = 314,057.50/727.26
  6. Step 6: Final answer
    x = 431.84

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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.