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Finding the Fourth Proportional to 821.80, 1,232.70 and 770.77

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Solution

The fourth proportional to 821.80, 1,232.70 and 770.77 is: 1,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.80 : 1,232.70 = 770.77 : x
  2. Step 2: Convert to fraction form
    821.80/1,232.70 = 770.77/x
  3. Step 3: Cross multiply
    821.80x = 1,232.70 × 770.77
  4. Step 4: Simplify right side
    821.80x = 950,128.18
  5. Step 5: Solve for x
    x = 950,128.18/821.80
  6. Step 6: Final answer
    x = 1,156.16

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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.