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Finding the Fourth Proportional to 1,218.53, 1,827.58 and 778.48

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Solution

The fourth proportional to 1,218.53, 1,827.58 and 778.48 is: 1,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.53 : 1,827.58 = 778.48 : x
  2. Step 2: Convert to fraction form
    1,218.53/1,827.58 = 778.48/x
  3. Step 3: Cross multiply
    1,218.53x = 1,827.58 × 778.48
  4. Step 4: Simplify right side
    1,218.53x = 1,422,721.45
  5. Step 5: Solve for x
    x = 1,422,721.45/1,218.53
  6. Step 6: Final answer
    x = 1,167.57

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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.