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Finding the Fourth Proportional to 777.98, 1,167.22 and 291.10

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Solution

The fourth proportional to 777.98, 1,167.22 and 291.10 is: 436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.98 : 1,167.22 = 291.10 : x
  2. Step 2: Convert to fraction form
    777.98/1,167.22 = 291.10/x
  3. Step 3: Cross multiply
    777.98x = 1,167.22 × 291.10
  4. Step 4: Simplify right side
    777.98x = 339,777.74
  5. Step 5: Solve for x
    x = 339,777.74/777.98
  6. Step 6: Final answer
    x = 436.74

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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.