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Finding the Fourth Proportional to 695.16, 1,042.53 and 208.08

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Solution

The fourth proportional to 695.16, 1,042.53 and 208.08 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.16 : 1,042.53 = 208.08 : x
  2. Step 2: Convert to fraction form
    695.16/1,042.53 = 208.08/x
  3. Step 3: Cross multiply
    695.16x = 1,042.53 × 208.08
  4. Step 4: Simplify right side
    695.16x = 216,929.64
  5. Step 5: Solve for x
    x = 216,929.64/695.16
  6. Step 6: Final answer
    x = 312.06

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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.