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Finding the Fourth Proportional to 963.80, 1,445.92 and 476.28

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Solution

The fourth proportional to 963.80, 1,445.92 and 476.28 is: 714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.80 : 1,445.92 = 476.28 : x
  2. Step 2: Convert to fraction form
    963.80/1,445.92 = 476.28/x
  3. Step 3: Cross multiply
    963.80x = 1,445.92 × 476.28
  4. Step 4: Simplify right side
    963.80x = 688,662.78
  5. Step 5: Solve for x
    x = 688,662.78/963.80
  6. Step 6: Final answer
    x = 714.53

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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.