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Finding the Fourth Proportional to 778.56, 1,074.36 and 468.24

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Solution

The fourth proportional to 778.56, 1,074.36 and 468.24 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,074.36 = 468.24 : x
  2. Step 2: Convert to fraction form
    778.56/1,074.36 = 468.24/x
  3. Step 3: Cross multiply
    778.56x = 1,074.36 × 468.24
  4. Step 4: Simplify right side
    778.56x = 503,058.33
  5. Step 5: Solve for x
    x = 503,058.33/778.56
  6. Step 6: Final answer
    x = 646.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.