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Finding the Fourth Proportional to 665, 916.80 and 487.82

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Solution

The fourth proportional to 665, 916.80 and 487.82 is: 672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    665 : 916.80 = 487.82 : x
  2. Step 2: Convert to fraction form
    665/916.80 = 487.82/x
  3. Step 3: Cross multiply
    665x = 916.80 × 487.82
  4. Step 4: Simplify right side
    665x = 447,233.38
  5. Step 5: Solve for x
    x = 447,233.38/665
  6. Step 6: Final answer
    x = 672.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.