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Finding the Fourth Proportional to 732.32, 1,097.38 and 549.60

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Solution

The fourth proportional to 732.32, 1,097.38 and 549.60 is: 823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.32 : 1,097.38 = 549.60 : x
  2. Step 2: Convert to fraction form
    732.32/1,097.38 = 549.60/x
  3. Step 3: Cross multiply
    732.32x = 1,097.38 × 549.60
  4. Step 4: Simplify right side
    732.32x = 603,120.05
  5. Step 5: Solve for x
    x = 603,120.05/732.32
  6. Step 6: Final answer
    x = 823.57

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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.