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Finding the Fourth Proportional to 1,189.97, 1,642.08 and 692.53

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Solution

The fourth proportional to 1,189.97, 1,642.08 and 692.53 is: 955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.97 : 1,642.08 = 692.53 : x
  2. Step 2: Convert to fraction form
    1,189.97/1,642.08 = 692.53/x
  3. Step 3: Cross multiply
    1,189.97x = 1,642.08 × 692.53
  4. Step 4: Simplify right side
    1,189.97x = 1,137,194.31
  5. Step 5: Solve for x
    x = 1,137,194.31/1,189.97
  6. Step 6: Final answer
    x = 955.65

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Why These Related Problems?

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