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Finding the Fourth Proportional to 645.64, 966 and 584.90

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Solution

The fourth proportional to 645.64, 966 and 584.90 is: 875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.64 : 966 = 584.90 : x
  2. Step 2: Convert to fraction form
    645.64/966 = 584.90/x
  3. Step 3: Cross multiply
    645.64x = 966 × 584.90
  4. Step 4: Simplify right side
    645.64x = 565,013.40
  5. Step 5: Solve for x
    x = 565,013.40/645.64
  6. Step 6: Final answer
    x = 875.12

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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.