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Finding the Fourth Proportional to 1,110.66, 1,666.26 and 461.58

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Solution

The fourth proportional to 1,110.66, 1,666.26 and 461.58 is: 692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.66 : 1,666.26 = 461.58 : x
  2. Step 2: Convert to fraction form
    1,110.66/1,666.26 = 461.58/x
  3. Step 3: Cross multiply
    1,110.66x = 1,666.26 × 461.58
  4. Step 4: Simplify right side
    1,110.66x = 769,112.29
  5. Step 5: Solve for x
    x = 769,112.29/1,110.66
  6. Step 6: Final answer
    x = 692.48

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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.