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Finding the Fourth Proportional to 1,083.98, 1,623.84 and 534.50

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Solution

The fourth proportional to 1,083.98, 1,623.84 and 534.50 is: 800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.98 : 1,623.84 = 534.50 : x
  2. Step 2: Convert to fraction form
    1,083.98/1,623.84 = 534.50/x
  3. Step 3: Cross multiply
    1,083.98x = 1,623.84 × 534.50
  4. Step 4: Simplify right side
    1,083.98x = 867,942.48
  5. Step 5: Solve for x
    x = 867,942.48/1,083.98
  6. Step 6: Final answer
    x = 800.70

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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.