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Finding the Fourth Proportional to 697.16, 1,045.82 and 258.53

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Solution

The fourth proportional to 697.16, 1,045.82 and 258.53 is: 387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.16 : 1,045.82 = 258.53 : x
  2. Step 2: Convert to fraction form
    697.16/1,045.82 = 258.53/x
  3. Step 3: Cross multiply
    697.16x = 1,045.82 × 258.53
  4. Step 4: Simplify right side
    697.16x = 270,375.69
  5. Step 5: Solve for x
    x = 270,375.69/697.16
  6. Step 6: Final answer
    x = 387.82

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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.