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Finding the Fourth Proportional to 597.54, 822.63 and 566.76

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Solution

The fourth proportional to 597.54, 822.63 and 566.76 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 822.63 = 566.76 : x
  2. Step 2: Convert to fraction form
    597.54/822.63 = 566.76/x
  3. Step 3: Cross multiply
    597.54x = 822.63 × 566.76
  4. Step 4: Simplify right side
    597.54x = 466,233.78
  5. Step 5: Solve for x
    x = 466,233.78/597.54
  6. Step 6: Final answer
    x = 780.26

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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.