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Finding the Fourth Proportional to 963.26, 1,444.89 and 314.00

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Solution

The fourth proportional to 963.26, 1,444.89 and 314.00 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.26 : 1,444.89 = 314.00 : x
  2. Step 2: Convert to fraction form
    963.26/1,444.89 = 314.00/x
  3. Step 3: Cross multiply
    963.26x = 1,444.89 × 314.00
  4. Step 4: Simplify right side
    963.26x = 453,688.24
  5. Step 5: Solve for x
    x = 453,688.24/963.26
  6. Step 6: Final answer
    x = 470.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.