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Finding the Fourth Proportional to 1,642.80, 2,464.04 and 547.05

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Solution

The fourth proportional to 1,642.80, 2,464.04 and 547.05 is: 820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.80 : 2,464.04 = 547.05 : x
  2. Step 2: Convert to fraction form
    1,642.80/2,464.04 = 547.05/x
  3. Step 3: Cross multiply
    1,642.80x = 2,464.04 × 547.05
  4. Step 4: Simplify right side
    1,642.80x = 1,347,944.19
  5. Step 5: Solve for x
    x = 1,347,944.19/1,642.80
  6. Step 6: Final answer
    x = 820.52

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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.