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Finding the Fourth Proportional to 645.68, 970.04 and 635.60

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Solution

The fourth proportional to 645.68, 970.04 and 635.60 is: 954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.68 : 970.04 = 635.60 : x
  2. Step 2: Convert to fraction form
    645.68/970.04 = 635.60/x
  3. Step 3: Cross multiply
    645.68x = 970.04 × 635.60
  4. Step 4: Simplify right side
    645.68x = 616,557.42
  5. Step 5: Solve for x
    x = 616,557.42/645.68
  6. Step 6: Final answer
    x = 954.90

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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.