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Finding the Fourth Proportional to 1,111.33, 1,666.86 and 461.98

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Solution

The fourth proportional to 1,111.33, 1,666.86 and 461.98 is: 692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.33 : 1,666.86 = 461.98 : x
  2. Step 2: Convert to fraction form
    1,111.33/1,666.86 = 461.98/x
  3. Step 3: Cross multiply
    1,111.33x = 1,666.86 × 461.98
  4. Step 4: Simplify right side
    1,111.33x = 770,055.98
  5. Step 5: Solve for x
    x = 770,055.98/1,111.33
  6. Step 6: Final answer
    x = 692.91

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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.