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Finding the Fourth Proportional to 822.78, 1,232.01 and 577.98

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Solution

The fourth proportional to 822.78, 1,232.01 and 577.98 is: 865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,232.01 = 577.98 : x
  2. Step 2: Convert to fraction form
    822.78/1,232.01 = 577.98/x
  3. Step 3: Cross multiply
    822.78x = 1,232.01 × 577.98
  4. Step 4: Simplify right side
    822.78x = 712,077.14
  5. Step 5: Solve for x
    x = 712,077.14/822.78
  6. Step 6: Final answer
    x = 865.45

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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.