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Finding the Fourth Proportional to 660.30, 989.40 and 522.99

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Solution

The fourth proportional to 660.30, 989.40 and 522.99 is: 783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.30 : 989.40 = 522.99 : x
  2. Step 2: Convert to fraction form
    660.30/989.40 = 522.99/x
  3. Step 3: Cross multiply
    660.30x = 989.40 × 522.99
  4. Step 4: Simplify right side
    660.30x = 517,446.31
  5. Step 5: Solve for x
    x = 517,446.31/660.30
  6. Step 6: Final answer
    x = 783.65

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