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Finding the Fourth Proportional to 891.35, 1,229.96 and 518.25

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Solution

The fourth proportional to 891.35, 1,229.96 and 518.25 is: 715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.35 : 1,229.96 = 518.25 : x
  2. Step 2: Convert to fraction form
    891.35/1,229.96 = 518.25/x
  3. Step 3: Cross multiply
    891.35x = 1,229.96 × 518.25
  4. Step 4: Simplify right side
    891.35x = 637,424.18
  5. Step 5: Solve for x
    x = 637,424.18/891.35
  6. Step 6: Final answer
    x = 715.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.