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Finding the Fourth Proportional to 1,642.59, 2,464.06 and 547.06

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Solution

The fourth proportional to 1,642.59, 2,464.06 and 547.06 is: 820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.59 : 2,464.06 = 547.06 : x
  2. Step 2: Convert to fraction form
    1,642.59/2,464.06 = 547.06/x
  3. Step 3: Cross multiply
    1,642.59x = 2,464.06 × 547.06
  4. Step 4: Simplify right side
    1,642.59x = 1,347,988.66
  5. Step 5: Solve for x
    x = 1,347,988.66/1,642.59
  6. Step 6: Final answer
    x = 820.65

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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.