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Finding the Fourth Proportional to 922.70, 1,273.34 and 503.06

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Solution

The fourth proportional to 922.70, 1,273.34 and 503.06 is: 694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.70 : 1,273.34 = 503.06 : x
  2. Step 2: Convert to fraction form
    922.70/1,273.34 = 503.06/x
  3. Step 3: Cross multiply
    922.70x = 1,273.34 × 503.06
  4. Step 4: Simplify right side
    922.70x = 640,566.42
  5. Step 5: Solve for x
    x = 640,566.42/922.70
  6. Step 6: Final answer
    x = 694.23

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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.