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Finding the Fourth Proportional to 963.19, 1,443.87 and 313.47

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Solution

The fourth proportional to 963.19, 1,443.87 and 313.47 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,443.87 = 313.47 : x
  2. Step 2: Convert to fraction form
    963.19/1,443.87 = 313.47/x
  3. Step 3: Cross multiply
    963.19x = 1,443.87 × 313.47
  4. Step 4: Simplify right side
    963.19x = 452,609.93
  5. Step 5: Solve for x
    x = 452,609.93/963.19
  6. Step 6: Final answer
    x = 469.91

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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.