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Finding the Fourth Proportional to 1,805.12, 2,707.78 and 572.63

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Solution

The fourth proportional to 1,805.12, 2,707.78 and 572.63 is: 858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.12 : 2,707.78 = 572.63 : x
  2. Step 2: Convert to fraction form
    1,805.12/2,707.78 = 572.63/x
  3. Step 3: Cross multiply
    1,805.12x = 2,707.78 × 572.63
  4. Step 4: Simplify right side
    1,805.12x = 1,550,539.66
  5. Step 5: Solve for x
    x = 1,550,539.66/1,805.12
  6. Step 6: Final answer
    x = 858.97

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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.