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Finding the Fourth Proportional to 805.46, 1,111.17 and 506.52

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Solution

The fourth proportional to 805.46, 1,111.17 and 506.52 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.46 : 1,111.17 = 506.52 : x
  2. Step 2: Convert to fraction form
    805.46/1,111.17 = 506.52/x
  3. Step 3: Cross multiply
    805.46x = 1,111.17 × 506.52
  4. Step 4: Simplify right side
    805.46x = 562,829.83
  5. Step 5: Solve for x
    x = 562,829.83/805.46
  6. Step 6: Final answer
    x = 698.77

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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.