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Finding the Fourth Proportional to 691.15, 1,037 and 258.34

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Solution

The fourth proportional to 691.15, 1,037 and 258.34 is: 387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.15 : 1,037 = 258.34 : x
  2. Step 2: Convert to fraction form
    691.15/1,037 = 258.34/x
  3. Step 3: Cross multiply
    691.15x = 1,037 × 258.34
  4. Step 4: Simplify right side
    691.15x = 267,898.58
  5. Step 5: Solve for x
    x = 267,898.58/691.15
  6. Step 6: Final answer
    x = 387.61

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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.