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Finding the Fourth Proportional to 697.64, 1,046.14 and 258.59

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Solution

The fourth proportional to 697.64, 1,046.14 and 258.59 is: 387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 1,046.14 = 258.59 : x
  2. Step 2: Convert to fraction form
    697.64/1,046.14 = 258.59/x
  3. Step 3: Cross multiply
    697.64x = 1,046.14 × 258.59
  4. Step 4: Simplify right side
    697.64x = 270,514.82
  5. Step 5: Solve for x
    x = 270,514.82/697.64
  6. Step 6: Final answer
    x = 387.76

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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.