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Finding the Fourth Proportional to 691.65, 1,037.39 and 258.75

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Solution

The fourth proportional to 691.65, 1,037.39 and 258.75 is: 388.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.65 : 1,037.39 = 258.75 : x
  2. Step 2: Convert to fraction form
    691.65/1,037.39 = 258.75/x
  3. Step 3: Cross multiply
    691.65x = 1,037.39 × 258.75
  4. Step 4: Simplify right side
    691.65x = 268,423.37
  5. Step 5: Solve for x
    x = 268,423.37/691.65
  6. Step 6: Final answer
    x = 388.09

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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.