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Finding the Fourth Proportional to 963.98, 1,445.88 and 314.76

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Solution

The fourth proportional to 963.98, 1,445.88 and 314.76 is: 472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.98 : 1,445.88 = 314.76 : x
  2. Step 2: Convert to fraction form
    963.98/1,445.88 = 314.76/x
  3. Step 3: Cross multiply
    963.98x = 1,445.88 × 314.76
  4. Step 4: Simplify right side
    963.98x = 455,105.19
  5. Step 5: Solve for x
    x = 455,105.19/963.98
  6. Step 6: Final answer
    x = 472.11

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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.