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Finding the Fourth Proportional to 695.12, 1,042.52 and 208.13

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Solution

The fourth proportional to 695.12, 1,042.52 and 208.13 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.12 : 1,042.52 = 208.13 : x
  2. Step 2: Convert to fraction form
    695.12/1,042.52 = 208.13/x
  3. Step 3: Cross multiply
    695.12x = 1,042.52 × 208.13
  4. Step 4: Simplify right side
    695.12x = 216,973.43
  5. Step 5: Solve for x
    x = 216,973.43/695.12
  6. Step 6: Final answer
    x = 312.14

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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.