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Finding the Fourth Proportional to 652.88, 900.94 and 600.64

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Solution

The fourth proportional to 652.88, 900.94 and 600.64 is: 828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.88 : 900.94 = 600.64 : x
  2. Step 2: Convert to fraction form
    652.88/900.94 = 600.64/x
  3. Step 3: Cross multiply
    652.88x = 900.94 × 600.64
  4. Step 4: Simplify right side
    652.88x = 541,140.60
  5. Step 5: Solve for x
    x = 541,140.60/652.88
  6. Step 6: Final answer
    x = 828.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.