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Finding the Fourth Proportional to 1,006.85, 1,507.11 and 692.66

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Solution

The fourth proportional to 1,006.85, 1,507.11 and 692.66 is: 1,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.85 : 1,507.11 = 692.66 : x
  2. Step 2: Convert to fraction form
    1,006.85/1,507.11 = 692.66/x
  3. Step 3: Cross multiply
    1,006.85x = 1,507.11 × 692.66
  4. Step 4: Simplify right side
    1,006.85x = 1,043,904.68
  5. Step 5: Solve for x
    x = 1,043,904.68/1,006.85
  6. Step 6: Final answer
    x = 1,036.81

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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.