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Finding the Fourth Proportional to 1,129.82, 1,692.54 and 691.19

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Solution

The fourth proportional to 1,129.82, 1,692.54 and 691.19 is: 1,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.82 : 1,692.54 = 691.19 : x
  2. Step 2: Convert to fraction form
    1,129.82/1,692.54 = 691.19/x
  3. Step 3: Cross multiply
    1,129.82x = 1,692.54 × 691.19
  4. Step 4: Simplify right side
    1,129.82x = 1,169,866.72
  5. Step 5: Solve for x
    x = 1,169,866.72/1,129.82
  6. Step 6: Final answer
    x = 1,035.45

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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.