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Finding the Fourth Proportional to 660.60, 910.92 and 567.66

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Solution

The fourth proportional to 660.60, 910.92 and 567.66 is: 782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.60 : 910.92 = 567.66 : x
  2. Step 2: Convert to fraction form
    660.60/910.92 = 567.66/x
  3. Step 3: Cross multiply
    660.60x = 910.92 × 567.66
  4. Step 4: Simplify right side
    660.60x = 517,092.85
  5. Step 5: Solve for x
    x = 517,092.85/660.60
  6. Step 6: Final answer
    x = 782.76

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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.