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Finding the Fourth Proportional to 695.82, 1,041.93 and 512.94

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Solution

The fourth proportional to 695.82, 1,041.93 and 512.94 is: 768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 1,041.93 = 512.94 : x
  2. Step 2: Convert to fraction form
    695.82/1,041.93 = 512.94/x
  3. Step 3: Cross multiply
    695.82x = 1,041.93 × 512.94
  4. Step 4: Simplify right side
    695.82x = 534,447.57
  5. Step 5: Solve for x
    x = 534,447.57/695.82
  6. Step 6: Final answer
    x = 768.08

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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.