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Finding the Fourth Proportional to 1,083.98, 1,496.54 and 847.46

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Solution

The fourth proportional to 1,083.98, 1,496.54 and 847.46 is: 1,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.98 : 1,496.54 = 847.46 : x
  2. Step 2: Convert to fraction form
    1,083.98/1,496.54 = 847.46/x
  3. Step 3: Cross multiply
    1,083.98x = 1,496.54 × 847.46
  4. Step 4: Simplify right side
    1,083.98x = 1,268,263.65
  5. Step 5: Solve for x
    x = 1,268,263.65/1,083.98
  6. Step 6: Final answer
    x = 1,170.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.