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Finding the Fourth Proportional to 1,083.49, 1,623.09 and 534.01

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Solution

The fourth proportional to 1,083.49, 1,623.09 and 534.01 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.49 : 1,623.09 = 534.01 : x
  2. Step 2: Convert to fraction form
    1,083.49/1,623.09 = 534.01/x
  3. Step 3: Cross multiply
    1,083.49x = 1,623.09 × 534.01
  4. Step 4: Simplify right side
    1,083.49x = 866,746.29
  5. Step 5: Solve for x
    x = 866,746.29/1,083.49
  6. Step 6: Final answer
    x = 799.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.