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Finding the Fourth Proportional to 727.17, 1,090.13 and 337.02

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Solution

The fourth proportional to 727.17, 1,090.13 and 337.02 is: 505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.17 : 1,090.13 = 337.02 : x
  2. Step 2: Convert to fraction form
    727.17/1,090.13 = 337.02/x
  3. Step 3: Cross multiply
    727.17x = 1,090.13 × 337.02
  4. Step 4: Simplify right side
    727.17x = 367,393.93
  5. Step 5: Solve for x
    x = 367,393.93/727.17
  6. Step 6: Final answer
    x = 505.24

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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.