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Finding the Fourth Proportional to 696.22, 1,043.02 and 464.40

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Solution

The fourth proportional to 696.22, 1,043.02 and 464.40 is: 695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.22 : 1,043.02 = 464.40 : x
  2. Step 2: Convert to fraction form
    696.22/1,043.02 = 464.40/x
  3. Step 3: Cross multiply
    696.22x = 1,043.02 × 464.40
  4. Step 4: Simplify right side
    696.22x = 484,378.49
  5. Step 5: Solve for x
    x = 484,378.49/696.22
  6. Step 6: Final answer
    x = 695.73

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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.