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Finding the Fourth Proportional to 660.60, 989.28 and 539.64

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Solution

The fourth proportional to 660.60, 989.28 and 539.64 is: 808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.60 : 989.28 = 539.64 : x
  2. Step 2: Convert to fraction form
    660.60/989.28 = 539.64/x
  3. Step 3: Cross multiply
    660.60x = 989.28 × 539.64
  4. Step 4: Simplify right side
    660.60x = 533,855.06
  5. Step 5: Solve for x
    x = 533,855.06/660.60
  6. Step 6: Final answer
    x = 808.14

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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.