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Finding the Fourth Proportional to 660.60, 991.98 and 455.76

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Solution

The fourth proportional to 660.60, 991.98 and 455.76 is: 684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.60 : 991.98 = 455.76 : x
  2. Step 2: Convert to fraction form
    660.60/991.98 = 455.76/x
  3. Step 3: Cross multiply
    660.60x = 991.98 × 455.76
  4. Step 4: Simplify right side
    660.60x = 452,104.80
  5. Step 5: Solve for x
    x = 452,104.80/660.60
  6. Step 6: Final answer
    x = 684.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.