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Finding the Fourth Proportional to 660.88, 910.96 and 520.77

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Solution

The fourth proportional to 660.88, 910.96 and 520.77 is: 717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.88 : 910.96 = 520.77 : x
  2. Step 2: Convert to fraction form
    660.88/910.96 = 520.77/x
  3. Step 3: Cross multiply
    660.88x = 910.96 × 520.77
  4. Step 4: Simplify right side
    660.88x = 474,395.92
  5. Step 5: Solve for x
    x = 474,395.92/660.88
  6. Step 6: Final answer
    x = 717.82

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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.