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Finding the Fourth Proportional to 697.96, 1,046.53 and 265.15

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Solution

The fourth proportional to 697.96, 1,046.53 and 265.15 is: 397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.96 : 1,046.53 = 265.15 : x
  2. Step 2: Convert to fraction form
    697.96/1,046.53 = 265.15/x
  3. Step 3: Cross multiply
    697.96x = 1,046.53 × 265.15
  4. Step 4: Simplify right side
    697.96x = 277,487.43
  5. Step 5: Solve for x
    x = 277,487.43/697.96
  6. Step 6: Final answer
    x = 397.57

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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.