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Finding the Fourth Proportional to 886.56, 1,223.64 and 592.32

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Solution

The fourth proportional to 886.56, 1,223.64 and 592.32 is: 817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.56 : 1,223.64 = 592.32 : x
  2. Step 2: Convert to fraction form
    886.56/1,223.64 = 592.32/x
  3. Step 3: Cross multiply
    886.56x = 1,223.64 × 592.32
  4. Step 4: Simplify right side
    886.56x = 724,786.44
  5. Step 5: Solve for x
    x = 724,786.44/886.56
  6. Step 6: Final answer
    x = 817.53

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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.