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Finding the Fourth Proportional to 695.63, 1,043.69 and 498.17

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Solution

The fourth proportional to 695.63, 1,043.69 and 498.17 is: 747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.63 : 1,043.69 = 498.17 : x
  2. Step 2: Convert to fraction form
    695.63/1,043.69 = 498.17/x
  3. Step 3: Cross multiply
    695.63x = 1,043.69 × 498.17
  4. Step 4: Simplify right side
    695.63x = 519,935.05
  5. Step 5: Solve for x
    x = 519,935.05/695.63
  6. Step 6: Final answer
    x = 747.43

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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.