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Finding the Fourth Proportional to 922.53, 1,273.02 and 524.24

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Solution

The fourth proportional to 922.53, 1,273.02 and 524.24 is: 723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.53 : 1,273.02 = 524.24 : x
  2. Step 2: Convert to fraction form
    922.53/1,273.02 = 524.24/x
  3. Step 3: Cross multiply
    922.53x = 1,273.02 × 524.24
  4. Step 4: Simplify right side
    922.53x = 667,361.64
  5. Step 5: Solve for x
    x = 667,361.64/922.53
  6. Step 6: Final answer
    x = 723.40

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Double scale
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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.