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Finding the Fourth Proportional to 1,111.06, 1,666.86 and 461.44

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Solution

The fourth proportional to 1,111.06, 1,666.86 and 461.44 is: 692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.06 : 1,666.86 = 461.44 : x
  2. Step 2: Convert to fraction form
    1,111.06/1,666.86 = 461.44/x
  3. Step 3: Cross multiply
    1,111.06x = 1,666.86 × 461.44
  4. Step 4: Simplify right side
    1,111.06x = 769,155.88
  5. Step 5: Solve for x
    x = 769,155.88/1,111.06
  6. Step 6: Final answer
    x = 692.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.