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Finding the Fourth Proportional to 805.07, 1,207.76 and 318.13

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Solution

The fourth proportional to 805.07, 1,207.76 and 318.13 is: 477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.07 : 1,207.76 = 318.13 : x
  2. Step 2: Convert to fraction form
    805.07/1,207.76 = 318.13/x
  3. Step 3: Cross multiply
    805.07x = 1,207.76 × 318.13
  4. Step 4: Simplify right side
    805.07x = 384,224.69
  5. Step 5: Solve for x
    x = 384,224.69/805.07
  6. Step 6: Final answer
    x = 477.26

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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.