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Finding the Fourth Proportional to 697.14, 1,045.38 and 258.09

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Solution

The fourth proportional to 697.14, 1,045.38 and 258.09 is: 387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 1,045.38 = 258.09 : x
  2. Step 2: Convert to fraction form
    697.14/1,045.38 = 258.09/x
  3. Step 3: Cross multiply
    697.14x = 1,045.38 × 258.09
  4. Step 4: Simplify right side
    697.14x = 269,799.17
  5. Step 5: Solve for x
    x = 269,799.17/697.14
  6. Step 6: Final answer
    x = 387.01

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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.