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Finding the Fourth Proportional to 727.27, 1,090.36 and 438.64

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Solution

The fourth proportional to 727.27, 1,090.36 and 438.64 is: 657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.27 : 1,090.36 = 438.64 : x
  2. Step 2: Convert to fraction form
    727.27/1,090.36 = 438.64/x
  3. Step 3: Cross multiply
    727.27x = 1,090.36 × 438.64
  4. Step 4: Simplify right side
    727.27x = 478,275.51
  5. Step 5: Solve for x
    x = 478,275.51/727.27
  6. Step 6: Final answer
    x = 657.63

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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.