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Finding the Fourth Proportional to 1,083.34, 1,623.78 and 505

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Solution

The fourth proportional to 1,083.34, 1,623.78 and 505 is: 756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.34 : 1,623.78 = 505 : x
  2. Step 2: Convert to fraction form
    1,083.34/1,623.78 = 505/x
  3. Step 3: Cross multiply
    1,083.34x = 1,623.78 × 505
  4. Step 4: Simplify right side
    1,083.34x = 820,008.90
  5. Step 5: Solve for x
    x = 820,008.90/1,083.34
  6. Step 6: Final answer
    x = 756.93

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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.