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Finding the Fourth Proportional to 963.85, 1,445.98 and 314.53

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Solution

The fourth proportional to 963.85, 1,445.98 and 314.53 is: 471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.85 : 1,445.98 = 314.53 : x
  2. Step 2: Convert to fraction form
    963.85/1,445.98 = 314.53/x
  3. Step 3: Cross multiply
    963.85x = 1,445.98 × 314.53
  4. Step 4: Simplify right side
    963.85x = 454,804.09
  5. Step 5: Solve for x
    x = 454,804.09/963.85
  6. Step 6: Final answer
    x = 471.86

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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.