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Finding the Fourth Proportional to 1,737.28, 2,605.44 and 582.40

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Solution

The fourth proportional to 1,737.28, 2,605.44 and 582.40 is: 873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.28 : 2,605.44 = 582.40 : x
  2. Step 2: Convert to fraction form
    1,737.28/2,605.44 = 582.40/x
  3. Step 3: Cross multiply
    1,737.28x = 2,605.44 × 582.40
  4. Step 4: Simplify right side
    1,737.28x = 1,517,408.26
  5. Step 5: Solve for x
    x = 1,517,408.26/1,737.28
  6. Step 6: Final answer
    x = 873.44

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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.