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Finding the Fourth Proportional to 922.89, 1,273.55 and 503.22

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Solution

The fourth proportional to 922.89, 1,273.55 and 503.22 is: 694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.89 : 1,273.55 = 503.22 : x
  2. Step 2: Convert to fraction form
    922.89/1,273.55 = 503.22/x
  3. Step 3: Cross multiply
    922.89x = 1,273.55 × 503.22
  4. Step 4: Simplify right side
    922.89x = 640,873.31
  5. Step 5: Solve for x
    x = 640,873.31/922.89
  6. Step 6: Final answer
    x = 694.42

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Double scale
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1.5x scale

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.