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Finding the Fourth Proportional to 732.15, 1,097.61 and 602.16

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Solution

The fourth proportional to 732.15, 1,097.61 and 602.16 is: 902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.15 : 1,097.61 = 602.16 : x
  2. Step 2: Convert to fraction form
    732.15/1,097.61 = 602.16/x
  3. Step 3: Cross multiply
    732.15x = 1,097.61 × 602.16
  4. Step 4: Simplify right side
    732.15x = 660,936.84
  5. Step 5: Solve for x
    x = 660,936.84/732.15
  6. Step 6: Final answer
    x = 902.73

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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.