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Finding the Fourth Proportional to 589.20, 889.10 and 567.76

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Solution

The fourth proportional to 589.20, 889.10 and 567.76 is: 856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 889.10 = 567.76 : x
  2. Step 2: Convert to fraction form
    589.20/889.10 = 567.76/x
  3. Step 3: Cross multiply
    589.20x = 889.10 × 567.76
  4. Step 4: Simplify right side
    589.20x = 504,795.42
  5. Step 5: Solve for x
    x = 504,795.42/589.20
  6. Step 6: Final answer
    x = 856.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.