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Finding the Fourth Proportional to 850.02, 1,275.39 and 464.82

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Solution

The fourth proportional to 850.02, 1,275.39 and 464.82 is: 697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.02 : 1,275.39 = 464.82 : x
  2. Step 2: Convert to fraction form
    850.02/1,275.39 = 464.82/x
  3. Step 3: Cross multiply
    850.02x = 1,275.39 × 464.82
  4. Step 4: Simplify right side
    850.02x = 592,826.78
  5. Step 5: Solve for x
    x = 592,826.78/850.02
  6. Step 6: Final answer
    x = 697.43

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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.