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Finding the Fourth Proportional to 1,226.67, 1,692.25 and 784.41

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Solution

The fourth proportional to 1,226.67, 1,692.25 and 784.41 is: 1,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.67 : 1,692.25 = 784.41 : x
  2. Step 2: Convert to fraction form
    1,226.67/1,692.25 = 784.41/x
  3. Step 3: Cross multiply
    1,226.67x = 1,692.25 × 784.41
  4. Step 4: Simplify right side
    1,226.67x = 1,327,417.82
  5. Step 5: Solve for x
    x = 1,327,417.82/1,226.67
  6. Step 6: Final answer
    x = 1,082.13

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Why These Related Problems?

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