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Finding the Fourth Proportional to 1,216.04, 1,822.38 and 556.31

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Solution

The fourth proportional to 1,216.04, 1,822.38 and 556.31 is: 833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.04 : 1,822.38 = 556.31 : x
  2. Step 2: Convert to fraction form
    1,216.04/1,822.38 = 556.31/x
  3. Step 3: Cross multiply
    1,216.04x = 1,822.38 × 556.31
  4. Step 4: Simplify right side
    1,216.04x = 1,013,808.22
  5. Step 5: Solve for x
    x = 1,013,808.22/1,216.04
  6. Step 6: Final answer
    x = 833.70

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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.