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Finding the Fourth Proportional to 963.93, 1,445.43 and 476.41

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Solution

The fourth proportional to 963.93, 1,445.43 and 476.41 is: 714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.93 : 1,445.43 = 476.41 : x
  2. Step 2: Convert to fraction form
    963.93/1,445.43 = 476.41/x
  3. Step 3: Cross multiply
    963.93x = 1,445.43 × 476.41
  4. Step 4: Simplify right side
    963.93x = 688,617.31
  5. Step 5: Solve for x
    x = 688,617.31/963.93
  6. Step 6: Final answer
    x = 714.39

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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.