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Finding the Fourth Proportional to 1,103.27, 1,522.53 and 605.93

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Solution

The fourth proportional to 1,103.27, 1,522.53 and 605.93 is: 836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.27 : 1,522.53 = 605.93 : x
  2. Step 2: Convert to fraction form
    1,103.27/1,522.53 = 605.93/x
  3. Step 3: Cross multiply
    1,103.27x = 1,522.53 × 605.93
  4. Step 4: Simplify right side
    1,103.27x = 922,538.99
  5. Step 5: Solve for x
    x = 922,538.99/1,103.27
  6. Step 6: Final answer
    x = 836.19

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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.