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Finding the Fourth Proportional to 691.17, 1,036.82 and 228.99

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Solution

The fourth proportional to 691.17, 1,036.82 and 228.99 is: 343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.17 : 1,036.82 = 228.99 : x
  2. Step 2: Convert to fraction form
    691.17/1,036.82 = 228.99/x
  3. Step 3: Cross multiply
    691.17x = 1,036.82 × 228.99
  4. Step 4: Simplify right side
    691.17x = 237,421.41
  5. Step 5: Solve for x
    x = 237,421.41/691.17
  6. Step 6: Final answer
    x = 343.51

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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.