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Finding the Fourth Proportional to 732.77, 1,099.70 and 386.21

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Solution

The fourth proportional to 732.77, 1,099.70 and 386.21 is: 579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.77 : 1,099.70 = 386.21 : x
  2. Step 2: Convert to fraction form
    732.77/1,099.70 = 386.21/x
  3. Step 3: Cross multiply
    732.77x = 1,099.70 × 386.21
  4. Step 4: Simplify right side
    732.77x = 424,713.21
  5. Step 5: Solve for x
    x = 424,713.21/732.77
  6. Step 6: Final answer
    x = 579.60

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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.