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Finding the Fourth Proportional to 1,736.75, 2,605.13 and 582.53

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Solution

The fourth proportional to 1,736.75, 2,605.13 and 582.53 is: 873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.75 : 2,605.13 = 582.53 : x
  2. Step 2: Convert to fraction form
    1,736.75/2,605.13 = 582.53/x
  3. Step 3: Cross multiply
    1,736.75x = 2,605.13 × 582.53
  4. Step 4: Simplify right side
    1,736.75x = 1,517,566.38
  5. Step 5: Solve for x
    x = 1,517,566.38/1,736.75
  6. Step 6: Final answer
    x = 873.80

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Why These Related Problems?

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