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Finding the Fourth Proportional to 767.77, 1,150.74 and 442.46

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Solution

The fourth proportional to 767.77, 1,150.74 and 442.46 is: 663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.77 : 1,150.74 = 442.46 : x
  2. Step 2: Convert to fraction form
    767.77/1,150.74 = 442.46/x
  3. Step 3: Cross multiply
    767.77x = 1,150.74 × 442.46
  4. Step 4: Simplify right side
    767.77x = 509,162.70
  5. Step 5: Solve for x
    x = 509,162.70/767.77
  6. Step 6: Final answer
    x = 663.17

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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.