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Finding the Fourth Proportional to 806.93, 1,211.48 and 478.48

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Solution

The fourth proportional to 806.93, 1,211.48 and 478.48 is: 718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.93 : 1,211.48 = 478.48 : x
  2. Step 2: Convert to fraction form
    806.93/1,211.48 = 478.48/x
  3. Step 3: Cross multiply
    806.93x = 1,211.48 × 478.48
  4. Step 4: Simplify right side
    806.93x = 579,665.32
  5. Step 5: Solve for x
    x = 579,665.32/806.93
  6. Step 6: Final answer
    x = 718.36

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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.