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Finding the Fourth Proportional to 891.80, 1,230.60 and 518.77

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Solution

The fourth proportional to 891.80, 1,230.60 and 518.77 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.80 : 1,230.60 = 518.77 : x
  2. Step 2: Convert to fraction form
    891.80/1,230.60 = 518.77/x
  3. Step 3: Cross multiply
    891.80x = 1,230.60 × 518.77
  4. Step 4: Simplify right side
    891.80x = 638,398.93
  5. Step 5: Solve for x
    x = 638,398.93/891.80
  6. Step 6: Final answer
    x = 715.86

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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.