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Finding the Fourth Proportional to 660.64, 989.88 and 522.96

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Solution

The fourth proportional to 660.64, 989.88 and 522.96 is: 783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.64 : 989.88 = 522.96 : x
  2. Step 2: Convert to fraction form
    660.64/989.88 = 522.96/x
  3. Step 3: Cross multiply
    660.64x = 989.88 × 522.96
  4. Step 4: Simplify right side
    660.64x = 517,667.64
  5. Step 5: Solve for x
    x = 517,667.64/660.64
  6. Step 6: Final answer
    x = 783.59

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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.