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Finding the Fourth Proportional to 1,083.48, 1,625.78 and 693.69

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Solution

The fourth proportional to 1,083.48, 1,625.78 and 693.69 is: 1,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.48 : 1,625.78 = 693.69 : x
  2. Step 2: Convert to fraction form
    1,083.48/1,625.78 = 693.69/x
  3. Step 3: Cross multiply
    1,083.48x = 1,625.78 × 693.69
  4. Step 4: Simplify right side
    1,083.48x = 1,127,787.33
  5. Step 5: Solve for x
    x = 1,127,787.33/1,083.48
  6. Step 6: Final answer
    x = 1,040.89

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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.