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Finding the Fourth Proportional to 963.07, 1,447.17 and 524.64

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Solution

The fourth proportional to 963.07, 1,447.17 and 524.64 is: 788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.07 : 1,447.17 = 524.64 : x
  2. Step 2: Convert to fraction form
    963.07/1,447.17 = 524.64/x
  3. Step 3: Cross multiply
    963.07x = 1,447.17 × 524.64
  4. Step 4: Simplify right side
    963.07x = 759,240.65
  5. Step 5: Solve for x
    x = 759,240.65/963.07
  6. Step 6: Final answer
    x = 788.36

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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.