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Finding the Fourth Proportional to 824.58, 1,131.17 and 774.90

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Solution

The fourth proportional to 824.58, 1,131.17 and 774.90 is: 1,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.58 : 1,131.17 = 774.90 : x
  2. Step 2: Convert to fraction form
    824.58/1,131.17 = 774.90/x
  3. Step 3: Cross multiply
    824.58x = 1,131.17 × 774.90
  4. Step 4: Simplify right side
    824.58x = 876,539.76
  5. Step 5: Solve for x
    x = 876,539.76/824.58
  6. Step 6: Final answer
    x = 1,063.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.