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Finding the Fourth Proportional to 695.18, 1,041.26 and 450.97

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Solution

The fourth proportional to 695.18, 1,041.26 and 450.97 is: 675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.18 : 1,041.26 = 450.97 : x
  2. Step 2: Convert to fraction form
    695.18/1,041.26 = 450.97/x
  3. Step 3: Cross multiply
    695.18x = 1,041.26 × 450.97
  4. Step 4: Simplify right side
    695.18x = 469,572.16
  5. Step 5: Solve for x
    x = 469,572.16/695.18
  6. Step 6: Final answer
    x = 675.47

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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.