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Finding the Fourth Proportional to 891.02, 1,229.75 and 518.24

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Solution

The fourth proportional to 891.02, 1,229.75 and 518.24 is: 715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.02 : 1,229.75 = 518.24 : x
  2. Step 2: Convert to fraction form
    891.02/1,229.75 = 518.24/x
  3. Step 3: Cross multiply
    891.02x = 1,229.75 × 518.24
  4. Step 4: Simplify right side
    891.02x = 637,305.64
  5. Step 5: Solve for x
    x = 637,305.64/891.02
  6. Step 6: Final answer
    x = 715.25

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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.