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Finding the Fourth Proportional to 978.22, 1,348.43 and 604.50

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Solution

The fourth proportional to 978.22, 1,348.43 and 604.50 is: 833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.22 : 1,348.43 = 604.50 : x
  2. Step 2: Convert to fraction form
    978.22/1,348.43 = 604.50/x
  3. Step 3: Cross multiply
    978.22x = 1,348.43 × 604.50
  4. Step 4: Simplify right side
    978.22x = 815,125.94
  5. Step 5: Solve for x
    x = 815,125.94/978.22
  6. Step 6: Final answer
    x = 833.27

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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.