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Finding the Fourth Proportional to 660.18, 910.26 and 566.76

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Solution

The fourth proportional to 660.18, 910.26 and 566.76 is: 781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 910.26 = 566.76 : x
  2. Step 2: Convert to fraction form
    660.18/910.26 = 566.76/x
  3. Step 3: Cross multiply
    660.18x = 910.26 × 566.76
  4. Step 4: Simplify right side
    660.18x = 515,898.96
  5. Step 5: Solve for x
    x = 515,898.96/660.18
  6. Step 6: Final answer
    x = 781.45

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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.