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Finding the Fourth Proportional to 962.70, 1,323.06 and 865.50

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Solution

The fourth proportional to 962.70, 1,323.06 and 865.50 is: 1,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.70 : 1,323.06 = 865.50 : x
  2. Step 2: Convert to fraction form
    962.70/1,323.06 = 865.50/x
  3. Step 3: Cross multiply
    962.70x = 1,323.06 × 865.50
  4. Step 4: Simplify right side
    962.70x = 1,145,108.43
  5. Step 5: Solve for x
    x = 1,145,108.43/962.70
  6. Step 6: Final answer
    x = 1,189.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.