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Finding the Fourth Proportional to 922.09, 1,272.15 and 523.70

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Solution

The fourth proportional to 922.09, 1,272.15 and 523.70 is: 722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.09 : 1,272.15 = 523.70 : x
  2. Step 2: Convert to fraction form
    922.09/1,272.15 = 523.70/x
  3. Step 3: Cross multiply
    922.09x = 1,272.15 × 523.70
  4. Step 4: Simplify right side
    922.09x = 666,224.96
  5. Step 5: Solve for x
    x = 666,224.96/922.09
  6. Step 6: Final answer
    x = 722.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.