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Finding the Fourth Proportional to 695.86, 1,042.64 and 348.84

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Solution

The fourth proportional to 695.86, 1,042.64 and 348.84 is: 522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.86 : 1,042.64 = 348.84 : x
  2. Step 2: Convert to fraction form
    695.86/1,042.64 = 348.84/x
  3. Step 3: Cross multiply
    695.86x = 1,042.64 × 348.84
  4. Step 4: Simplify right side
    695.86x = 363,714.10
  5. Step 5: Solve for x
    x = 363,714.10/695.86
  6. Step 6: Final answer
    x = 522.68

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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.