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Finding the Fourth Proportional to 922.98, 1,273.74 and 503.34

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Solution

The fourth proportional to 922.98, 1,273.74 and 503.34 is: 694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.98 : 1,273.74 = 503.34 : x
  2. Step 2: Convert to fraction form
    922.98/1,273.74 = 503.34/x
  3. Step 3: Cross multiply
    922.98x = 1,273.74 × 503.34
  4. Step 4: Simplify right side
    922.98x = 641,124.29
  5. Step 5: Solve for x
    x = 641,124.29/922.98
  6. Step 6: Final answer
    x = 694.62

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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.