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Finding the Fourth Proportional to 1,776.25, 2,663.25 and 852.04

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Solution

The fourth proportional to 1,776.25, 2,663.25 and 852.04 is: 1,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.25 : 2,663.25 = 852.04 : x
  2. Step 2: Convert to fraction form
    1,776.25/2,663.25 = 852.04/x
  3. Step 3: Cross multiply
    1,776.25x = 2,663.25 × 852.04
  4. Step 4: Simplify right side
    1,776.25x = 2,269,195.53
  5. Step 5: Solve for x
    x = 2,269,195.53/1,776.25
  6. Step 6: Final answer
    x = 1,277.52

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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.