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Finding the Fourth Proportional to 1,643.32, 2,464.16 and 547.30

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Solution

The fourth proportional to 1,643.32, 2,464.16 and 547.30 is: 820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.32 : 2,464.16 = 547.30 : x
  2. Step 2: Convert to fraction form
    1,643.32/2,464.16 = 547.30/x
  3. Step 3: Cross multiply
    1,643.32x = 2,464.16 × 547.30
  4. Step 4: Simplify right side
    1,643.32x = 1,348,634.77
  5. Step 5: Solve for x
    x = 1,348,634.77/1,643.32
  6. Step 6: Final answer
    x = 820.68

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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.