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Finding the Fourth Proportional to 767.34, 1,151.54 and 493.64

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Solution

The fourth proportional to 767.34, 1,151.54 and 493.64 is: 740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,151.54 = 493.64 : x
  2. Step 2: Convert to fraction form
    767.34/1,151.54 = 493.64/x
  3. Step 3: Cross multiply
    767.34x = 1,151.54 × 493.64
  4. Step 4: Simplify right side
    767.34x = 568,437.98
  5. Step 5: Solve for x
    x = 568,437.98/767.34
  6. Step 6: Final answer
    x = 740.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.