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Finding the Fourth Proportional to 778.23, 1,167.58 and 284.63

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Solution

The fourth proportional to 778.23, 1,167.58 and 284.63 is: 427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.23 : 1,167.58 = 284.63 : x
  2. Step 2: Convert to fraction form
    778.23/1,167.58 = 284.63/x
  3. Step 3: Cross multiply
    778.23x = 1,167.58 × 284.63
  4. Step 4: Simplify right side
    778.23x = 332,322.81
  5. Step 5: Solve for x
    x = 332,322.81/778.23
  6. Step 6: Final answer
    x = 427.02

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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.