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Finding the Fourth Proportional to 891.32, 1,230.27 and 518.23

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Solution

The fourth proportional to 891.32, 1,230.27 and 518.23 is: 715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.32 : 1,230.27 = 518.23 : x
  2. Step 2: Convert to fraction form
    891.32/1,230.27 = 518.23/x
  3. Step 3: Cross multiply
    891.32x = 1,230.27 × 518.23
  4. Step 4: Simplify right side
    891.32x = 637,555.50
  5. Step 5: Solve for x
    x = 637,555.50/891.32
  6. Step 6: Final answer
    x = 715.30

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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.