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Finding the Fourth Proportional to 1,656.16, 2,482.80 and 789.28

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Solution

The fourth proportional to 1,656.16, 2,482.80 and 789.28 is: 1,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.16 : 2,482.80 = 789.28 : x
  2. Step 2: Convert to fraction form
    1,656.16/2,482.80 = 789.28/x
  3. Step 3: Cross multiply
    1,656.16x = 2,482.80 × 789.28
  4. Step 4: Simplify right side
    1,656.16x = 1,959,624.38
  5. Step 5: Solve for x
    x = 1,959,624.38/1,656.16
  6. Step 6: Final answer
    x = 1,183.23

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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.