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Finding the Fourth Proportional to 962.06, 1,444.23 and 922.94

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Solution

The fourth proportional to 962.06, 1,444.23 and 922.94 is: 1,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.06 : 1,444.23 = 922.94 : x
  2. Step 2: Convert to fraction form
    962.06/1,444.23 = 922.94/x
  3. Step 3: Cross multiply
    962.06x = 1,444.23 × 922.94
  4. Step 4: Simplify right side
    962.06x = 1,332,937.64
  5. Step 5: Solve for x
    x = 1,332,937.64/962.06
  6. Step 6: Final answer
    x = 1,385.50

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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.