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Finding the Fourth Proportional to 883.44, 1,321.92 and 594

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Solution

The fourth proportional to 883.44, 1,321.92 and 594 is: 888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.44 : 1,321.92 = 594 : x
  2. Step 2: Convert to fraction form
    883.44/1,321.92 = 594/x
  3. Step 3: Cross multiply
    883.44x = 1,321.92 × 594
  4. Step 4: Simplify right side
    883.44x = 785,220.48
  5. Step 5: Solve for x
    x = 785,220.48/883.44
  6. Step 6: Final answer
    x = 888.82

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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.