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Finding the Fourth Proportional to 1,217.04, 1,821.60 and 778.56

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Solution

The fourth proportional to 1,217.04, 1,821.60 and 778.56 is: 1,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.04 : 1,821.60 = 778.56 : x
  2. Step 2: Convert to fraction form
    1,217.04/1,821.60 = 778.56/x
  3. Step 3: Cross multiply
    1,217.04x = 1,821.60 × 778.56
  4. Step 4: Simplify right side
    1,217.04x = 1,418,224.90
  5. Step 5: Solve for x
    x = 1,418,224.90/1,217.04
  6. Step 6: Final answer
    x = 1,165.31

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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.