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Finding the Fourth Proportional to 1,737.02, 2,604.99 and 582.50

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Solution

The fourth proportional to 1,737.02, 2,604.99 and 582.50 is: 873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.02 : 2,604.99 = 582.50 : x
  2. Step 2: Convert to fraction form
    1,737.02/2,604.99 = 582.50/x
  3. Step 3: Cross multiply
    1,737.02x = 2,604.99 × 582.50
  4. Step 4: Simplify right side
    1,737.02x = 1,517,406.68
  5. Step 5: Solve for x
    x = 1,517,406.68/1,737.02
  6. Step 6: Final answer
    x = 873.57

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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.