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Finding the Fourth Proportional to 795.88, 1,194.23 and 566.24

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Solution

The fourth proportional to 795.88, 1,194.23 and 566.24 is: 849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.88 : 1,194.23 = 566.24 : x
  2. Step 2: Convert to fraction form
    795.88/1,194.23 = 566.24/x
  3. Step 3: Cross multiply
    795.88x = 1,194.23 × 566.24
  4. Step 4: Simplify right side
    795.88x = 676,220.80
  5. Step 5: Solve for x
    x = 676,220.80/795.88
  6. Step 6: Final answer
    x = 849.65

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1.5x scale

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.