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Finding the Fourth Proportional to 1,654.22, 2,480.84 and 776.46

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Solution

The fourth proportional to 1,654.22, 2,480.84 and 776.46 is: 1,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.22 : 2,480.84 = 776.46 : x
  2. Step 2: Convert to fraction form
    1,654.22/2,480.84 = 776.46/x
  3. Step 3: Cross multiply
    1,654.22x = 2,480.84 × 776.46
  4. Step 4: Simplify right side
    1,654.22x = 1,926,273.03
  5. Step 5: Solve for x
    x = 1,926,273.03/1,654.22
  6. Step 6: Final answer
    x = 1,164.46

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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.