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Finding the Fourth Proportional to 977.26, 1,348.64 and 604.22

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Solution

The fourth proportional to 977.26, 1,348.64 and 604.22 is: 833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.26 : 1,348.64 = 604.22 : x
  2. Step 2: Convert to fraction form
    977.26/1,348.64 = 604.22/x
  3. Step 3: Cross multiply
    977.26x = 1,348.64 × 604.22
  4. Step 4: Simplify right side
    977.26x = 814,875.26
  5. Step 5: Solve for x
    x = 814,875.26/977.26
  6. Step 6: Final answer
    x = 833.84

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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.