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Finding the Fourth Proportional to 964.25, 1,445.15 and 803.87

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Solution

The fourth proportional to 964.25, 1,445.15 and 803.87 is: 1,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 1,445.15 = 803.87 : x
  2. Step 2: Convert to fraction form
    964.25/1,445.15 = 803.87/x
  3. Step 3: Cross multiply
    964.25x = 1,445.15 × 803.87
  4. Step 4: Simplify right side
    964.25x = 1,161,718.35
  5. Step 5: Solve for x
    x = 1,161,718.35/964.25
  6. Step 6: Final answer
    x = 1,204.79

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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.