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Finding the Fourth Proportional to 1,764.92, 2,647.65 and 578.59

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Solution

The fourth proportional to 1,764.92, 2,647.65 and 578.59 is: 867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.92 : 2,647.65 = 578.59 : x
  2. Step 2: Convert to fraction form
    1,764.92/2,647.65 = 578.59/x
  3. Step 3: Cross multiply
    1,764.92x = 2,647.65 × 578.59
  4. Step 4: Simplify right side
    1,764.92x = 1,531,903.81
  5. Step 5: Solve for x
    x = 1,531,903.81/1,764.92
  6. Step 6: Final answer
    x = 867.97

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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.