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Finding the Fourth Proportional to 691.74, 1,035.72 and 447.66

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Solution

The fourth proportional to 691.74, 1,035.72 and 447.66 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.74 : 1,035.72 = 447.66 : x
  2. Step 2: Convert to fraction form
    691.74/1,035.72 = 447.66/x
  3. Step 3: Cross multiply
    691.74x = 1,035.72 × 447.66
  4. Step 4: Simplify right side
    691.74x = 463,650.42
  5. Step 5: Solve for x
    x = 463,650.42/691.74
  6. Step 6: Final answer
    x = 670.27

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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.