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Finding the Fourth Proportional to 963.88, 1,446.10 and 470.32

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Solution

The fourth proportional to 963.88, 1,446.10 and 470.32 is: 705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.88 : 1,446.10 = 470.32 : x
  2. Step 2: Convert to fraction form
    963.88/1,446.10 = 470.32/x
  3. Step 3: Cross multiply
    963.88x = 1,446.10 × 470.32
  4. Step 4: Simplify right side
    963.88x = 680,129.75
  5. Step 5: Solve for x
    x = 680,129.75/963.88
  6. Step 6: Final answer
    x = 705.62

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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.