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Finding the Fourth Proportional to 963.96, 1,445.93 and 477.35

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Solution

The fourth proportional to 963.96, 1,445.93 and 477.35 is: 716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.96 : 1,445.93 = 477.35 : x
  2. Step 2: Convert to fraction form
    963.96/1,445.93 = 477.35/x
  3. Step 3: Cross multiply
    963.96x = 1,445.93 × 477.35
  4. Step 4: Simplify right side
    963.96x = 690,214.69
  5. Step 5: Solve for x
    x = 690,214.69/963.96
  6. Step 6: Final answer
    x = 716.02

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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.