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Finding the Fourth Proportional to 822.89, 1,135.49 and 528.19

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Solution

The fourth proportional to 822.89, 1,135.49 and 528.19 is: 728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.89 : 1,135.49 = 528.19 : x
  2. Step 2: Convert to fraction form
    822.89/1,135.49 = 528.19/x
  3. Step 3: Cross multiply
    822.89x = 1,135.49 × 528.19
  4. Step 4: Simplify right side
    822.89x = 599,748.98
  5. Step 5: Solve for x
    x = 599,748.98/822.89
  6. Step 6: Final answer
    x = 728.83

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Double scale
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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.