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Finding the Fourth Proportional to 822.48, 1,133.60 and 595.56

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Solution

The fourth proportional to 822.48, 1,133.60 and 595.56 is: 820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.48 : 1,133.60 = 595.56 : x
  2. Step 2: Convert to fraction form
    822.48/1,133.60 = 595.56/x
  3. Step 3: Cross multiply
    822.48x = 1,133.60 × 595.56
  4. Step 4: Simplify right side
    822.48x = 675,126.82
  5. Step 5: Solve for x
    x = 675,126.82/822.48
  6. Step 6: Final answer
    x = 820.84

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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.