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Finding the Fourth Proportional to 635.76, 953.64 and 601.80

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Solution

The fourth proportional to 635.76, 953.64 and 601.80 is: 902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.76 : 953.64 = 601.80 : x
  2. Step 2: Convert to fraction form
    635.76/953.64 = 601.80/x
  3. Step 3: Cross multiply
    635.76x = 953.64 × 601.80
  4. Step 4: Simplify right side
    635.76x = 573,900.55
  5. Step 5: Solve for x
    x = 573,900.55/635.76
  6. Step 6: Final answer
    x = 902.70

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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.