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Finding the Fourth Proportional to 914.09, 1,369.08 and 425.66

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Solution

The fourth proportional to 914.09, 1,369.08 and 425.66 is: 637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.09 : 1,369.08 = 425.66 : x
  2. Step 2: Convert to fraction form
    914.09/1,369.08 = 425.66/x
  3. Step 3: Cross multiply
    914.09x = 1,369.08 × 425.66
  4. Step 4: Simplify right side
    914.09x = 582,762.59
  5. Step 5: Solve for x
    x = 582,762.59/914.09
  6. Step 6: Final answer
    x = 637.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.