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Finding the Fourth Proportional to 963.45, 1,444.86 and 469.58

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Solution

The fourth proportional to 963.45, 1,444.86 and 469.58 is: 704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.45 : 1,444.86 = 469.58 : x
  2. Step 2: Convert to fraction form
    963.45/1,444.86 = 469.58/x
  3. Step 3: Cross multiply
    963.45x = 1,444.86 × 469.58
  4. Step 4: Simplify right side
    963.45x = 678,470.13
  5. Step 5: Solve for x
    x = 678,470.13/963.45
  6. Step 6: Final answer
    x = 704.21

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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.