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Finding the Fourth Proportional to 691.15, 1,036.17 and 258.07

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Solution

The fourth proportional to 691.15, 1,036.17 and 258.07 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.15 : 1,036.17 = 258.07 : x
  2. Step 2: Convert to fraction form
    691.15/1,036.17 = 258.07/x
  3. Step 3: Cross multiply
    691.15x = 1,036.17 × 258.07
  4. Step 4: Simplify right side
    691.15x = 267,404.39
  5. Step 5: Solve for x
    x = 267,404.39/691.15
  6. Step 6: Final answer
    x = 386.90

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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.