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Finding the Fourth Proportional to 1,647.58, 2,471.72 and 537.07

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Solution

The fourth proportional to 1,647.58, 2,471.72 and 537.07 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.58 : 2,471.72 = 537.07 : x
  2. Step 2: Convert to fraction form
    1,647.58/2,471.72 = 537.07/x
  3. Step 3: Cross multiply
    1,647.58x = 2,471.72 × 537.07
  4. Step 4: Simplify right side
    1,647.58x = 1,327,486.66
  5. Step 5: Solve for x
    x = 1,327,486.66/1,647.58
  6. Step 6: Final answer
    x = 805.72

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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.