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Finding the Fourth Proportional to 1,206.89, 1,808.93 and 556.26

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Solution

The fourth proportional to 1,206.89, 1,808.93 and 556.26 is: 833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.89 : 1,808.93 = 556.26 : x
  2. Step 2: Convert to fraction form
    1,206.89/1,808.93 = 556.26/x
  3. Step 3: Cross multiply
    1,206.89x = 1,808.93 × 556.26
  4. Step 4: Simplify right side
    1,206.89x = 1,006,230.01
  5. Step 5: Solve for x
    x = 1,006,230.01/1,206.89
  6. Step 6: Final answer
    x = 833.74

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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.