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Finding the Fourth Proportional to 689.72, 1,033.86 and 347

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Solution

The fourth proportional to 689.72, 1,033.86 and 347 is: 520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 1,033.86 = 347 : x
  2. Step 2: Convert to fraction form
    689.72/1,033.86 = 347/x
  3. Step 3: Cross multiply
    689.72x = 1,033.86 × 347
  4. Step 4: Simplify right side
    689.72x = 358,749.42
  5. Step 5: Solve for x
    x = 358,749.42/689.72
  6. Step 6: Final answer
    x = 520.14

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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.