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Finding the Fourth Proportional to 922.02, 1,274.82 and 644.34

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Solution

The fourth proportional to 922.02, 1,274.82 and 644.34 is: 890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.02 : 1,274.82 = 644.34 : x
  2. Step 2: Convert to fraction form
    922.02/1,274.82 = 644.34/x
  3. Step 3: Cross multiply
    922.02x = 1,274.82 × 644.34
  4. Step 4: Simplify right side
    922.02x = 821,417.52
  5. Step 5: Solve for x
    x = 821,417.52/922.02
  6. Step 6: Final answer
    x = 890.89

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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.