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Finding the Fourth Proportional to 1,189.79, 1,641.92 and 692.72

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Solution

The fourth proportional to 1,189.79, 1,641.92 and 692.72 is: 955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.79 : 1,641.92 = 692.72 : x
  2. Step 2: Convert to fraction form
    1,189.79/1,641.92 = 692.72/x
  3. Step 3: Cross multiply
    1,189.79x = 1,641.92 × 692.72
  4. Step 4: Simplify right side
    1,189.79x = 1,137,390.82
  5. Step 5: Solve for x
    x = 1,137,390.82/1,189.79
  6. Step 6: Final answer
    x = 955.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.