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Finding the Fourth Proportional to 981.78, 1,469.52 and 651.96

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Solution

The fourth proportional to 981.78, 1,469.52 and 651.96 is: 975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.78 : 1,469.52 = 651.96 : x
  2. Step 2: Convert to fraction form
    981.78/1,469.52 = 651.96/x
  3. Step 3: Cross multiply
    981.78x = 1,469.52 × 651.96
  4. Step 4: Simplify right side
    981.78x = 958,068.26
  5. Step 5: Solve for x
    x = 958,068.26/981.78
  6. Step 6: Final answer
    x = 975.85

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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.