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Finding the Fourth Proportional to 1,736.25, 2,603.73 and 565.95

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Solution

The fourth proportional to 1,736.25, 2,603.73 and 565.95 is: 848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.25 : 2,603.73 = 565.95 : x
  2. Step 2: Convert to fraction form
    1,736.25/2,603.73 = 565.95/x
  3. Step 3: Cross multiply
    1,736.25x = 2,603.73 × 565.95
  4. Step 4: Simplify right side
    1,736.25x = 1,473,580.99
  5. Step 5: Solve for x
    x = 1,473,580.99/1,736.25
  6. Step 6: Final answer
    x = 848.71

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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.