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Finding the Fourth Proportional to 1,083.48, 1,625.90 and 564.06

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Solution

The fourth proportional to 1,083.48, 1,625.90 and 564.06 is: 846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.48 : 1,625.90 = 564.06 : x
  2. Step 2: Convert to fraction form
    1,083.48/1,625.90 = 564.06/x
  3. Step 3: Cross multiply
    1,083.48x = 1,625.90 × 564.06
  4. Step 4: Simplify right side
    1,083.48x = 917,110.02
  5. Step 5: Solve for x
    x = 917,110.02/1,083.48
  6. Step 6: Final answer
    x = 846.45

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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.