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Finding the Fourth Proportional to 695.28, 1,042.01 and 511.82

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Solution

The fourth proportional to 695.28, 1,042.01 and 511.82 is: 767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.28 : 1,042.01 = 511.82 : x
  2. Step 2: Convert to fraction form
    695.28/1,042.01 = 511.82/x
  3. Step 3: Cross multiply
    695.28x = 1,042.01 × 511.82
  4. Step 4: Simplify right side
    695.28x = 533,315.71
  5. Step 5: Solve for x
    x = 533,315.71/695.28
  6. Step 6: Final answer
    x = 767.05

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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.