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Finding the Fourth Proportional to 885.64, 1,222.95 and 739.84

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Solution

The fourth proportional to 885.64, 1,222.95 and 739.84 is: 1,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.64 : 1,222.95 = 739.84 : x
  2. Step 2: Convert to fraction form
    885.64/1,222.95 = 739.84/x
  3. Step 3: Cross multiply
    885.64x = 1,222.95 × 739.84
  4. Step 4: Simplify right side
    885.64x = 904,787.33
  5. Step 5: Solve for x
    x = 904,787.33/885.64
  6. Step 6: Final answer
    x = 1,021.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.