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Finding the Fourth Proportional to 1,644.83, 2,466.02 and 778.13

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Solution

The fourth proportional to 1,644.83, 2,466.02 and 778.13 is: 1,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.83 : 2,466.02 = 778.13 : x
  2. Step 2: Convert to fraction form
    1,644.83/2,466.02 = 778.13/x
  3. Step 3: Cross multiply
    1,644.83x = 2,466.02 × 778.13
  4. Step 4: Simplify right side
    1,644.83x = 1,918,871.81
  5. Step 5: Solve for x
    x = 1,918,871.81/1,644.83
  6. Step 6: Final answer
    x = 1,166.61

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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.