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Finding the Fourth Proportional to 695.92, 1,044.59 and 349.51

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Solution

The fourth proportional to 695.92, 1,044.59 and 349.51 is: 524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.92 : 1,044.59 = 349.51 : x
  2. Step 2: Convert to fraction form
    695.92/1,044.59 = 349.51/x
  3. Step 3: Cross multiply
    695.92x = 1,044.59 × 349.51
  4. Step 4: Simplify right side
    695.92x = 365,094.65
  5. Step 5: Solve for x
    x = 365,094.65/695.92
  6. Step 6: Final answer
    x = 524.62

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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.