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Finding the Fourth Proportional to 1,737.69, 2,607.15 and 583.44

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Solution

The fourth proportional to 1,737.69, 2,607.15 and 583.44 is: 875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.69 : 2,607.15 = 583.44 : x
  2. Step 2: Convert to fraction form
    1,737.69/2,607.15 = 583.44/x
  3. Step 3: Cross multiply
    1,737.69x = 2,607.15 × 583.44
  4. Step 4: Simplify right side
    1,737.69x = 1,521,112.68
  5. Step 5: Solve for x
    x = 1,521,112.68/1,737.69
  6. Step 6: Final answer
    x = 875.36

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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.