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Finding the Fourth Proportional to 694.96, 1,042.16 and 348.20

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Solution

The fourth proportional to 694.96, 1,042.16 and 348.20 is: 522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.96 : 1,042.16 = 348.20 : x
  2. Step 2: Convert to fraction form
    694.96/1,042.16 = 348.20/x
  3. Step 3: Cross multiply
    694.96x = 1,042.16 × 348.20
  4. Step 4: Simplify right side
    694.96x = 362,880.11
  5. Step 5: Solve for x
    x = 362,880.11/694.96
  6. Step 6: Final answer
    x = 522.16

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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.