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Finding the Fourth Proportional to 999.73, 1,497.36 and 778.64

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Solution

The fourth proportional to 999.73, 1,497.36 and 778.64 is: 1,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.73 : 1,497.36 = 778.64 : x
  2. Step 2: Convert to fraction form
    999.73/1,497.36 = 778.64/x
  3. Step 3: Cross multiply
    999.73x = 1,497.36 × 778.64
  4. Step 4: Simplify right side
    999.73x = 1,165,904.39
  5. Step 5: Solve for x
    x = 1,165,904.39/999.73
  6. Step 6: Final answer
    x = 1,166.22

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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.