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Finding the Fourth Proportional to 1,737.69, 2,604.91 and 582.63

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Solution

The fourth proportional to 1,737.69, 2,604.91 and 582.63 is: 873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.69 : 2,604.91 = 582.63 : x
  2. Step 2: Convert to fraction form
    1,737.69/2,604.91 = 582.63/x
  3. Step 3: Cross multiply
    1,737.69x = 2,604.91 × 582.63
  4. Step 4: Simplify right side
    1,737.69x = 1,517,698.71
  5. Step 5: Solve for x
    x = 1,517,698.71/1,737.69
  6. Step 6: Final answer
    x = 873.40

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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.