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Finding the Fourth Proportional to 662.20, 913 and 568.76

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Solution

The fourth proportional to 662.20, 913 and 568.76 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 913 = 568.76 : x
  2. Step 2: Convert to fraction form
    662.20/913 = 568.76/x
  3. Step 3: Cross multiply
    662.20x = 913 × 568.76
  4. Step 4: Simplify right side
    662.20x = 519,277.88
  5. Step 5: Solve for x
    x = 519,277.88/662.20
  6. Step 6: Final answer
    x = 784.17

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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.