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Finding the Fourth Proportional to 964.19, 1,446.29 and 578.63

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Solution

The fourth proportional to 964.19, 1,446.29 and 578.63 is: 867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.19 : 1,446.29 = 578.63 : x
  2. Step 2: Convert to fraction form
    964.19/1,446.29 = 578.63/x
  3. Step 3: Cross multiply
    964.19x = 1,446.29 × 578.63
  4. Step 4: Simplify right side
    964.19x = 836,856.66
  5. Step 5: Solve for x
    x = 836,856.66/964.19
  6. Step 6: Final answer
    x = 867.94

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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.