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Finding the Fourth Proportional to 691.08, 1,036.50 and 228.81

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Solution

The fourth proportional to 691.08, 1,036.50 and 228.81 is: 343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 1,036.50 = 228.81 : x
  2. Step 2: Convert to fraction form
    691.08/1,036.50 = 228.81/x
  3. Step 3: Cross multiply
    691.08x = 1,036.50 × 228.81
  4. Step 4: Simplify right side
    691.08x = 237,161.57
  5. Step 5: Solve for x
    x = 237,161.57/691.08
  6. Step 6: Final answer
    x = 343.18

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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.