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Finding the Fourth Proportional to 767.34, 1,151.13 and 442.53

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Solution

The fourth proportional to 767.34, 1,151.13 and 442.53 is: 663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,151.13 = 442.53 : x
  2. Step 2: Convert to fraction form
    767.34/1,151.13 = 442.53/x
  3. Step 3: Cross multiply
    767.34x = 1,151.13 × 442.53
  4. Step 4: Simplify right side
    767.34x = 509,409.56
  5. Step 5: Solve for x
    x = 509,409.56/767.34
  6. Step 6: Final answer
    x = 663.86

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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.