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Finding the Fourth Proportional to 1,389.19, 2,083.17 and 556.00

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Solution

The fourth proportional to 1,389.19, 2,083.17 and 556.00 is: 833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.19 : 2,083.17 = 556.00 : x
  2. Step 2: Convert to fraction form
    1,389.19/2,083.17 = 556.00/x
  3. Step 3: Cross multiply
    1,389.19x = 2,083.17 × 556.00
  4. Step 4: Simplify right side
    1,389.19x = 1,158,247.21
  5. Step 5: Solve for x
    x = 1,158,247.21/1,389.19
  6. Step 6: Final answer
    x = 833.76

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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.