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Finding the Fourth Proportional to 760.32, 1,049.31 and 428.85

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Solution

The fourth proportional to 760.32, 1,049.31 and 428.85 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,049.31 = 428.85 : x
  2. Step 2: Convert to fraction form
    760.32/1,049.31 = 428.85/x
  3. Step 3: Cross multiply
    760.32x = 1,049.31 × 428.85
  4. Step 4: Simplify right side
    760.32x = 449,996.59
  5. Step 5: Solve for x
    x = 449,996.59/760.32
  6. Step 6: Final answer
    x = 591.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.