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Finding the Fourth Proportional to 1,190.03, 1,642.14 and 692.82

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Solution

The fourth proportional to 1,190.03, 1,642.14 and 692.82 is: 956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.03 : 1,642.14 = 692.82 : x
  2. Step 2: Convert to fraction form
    1,190.03/1,642.14 = 692.82/x
  3. Step 3: Cross multiply
    1,190.03x = 1,642.14 × 692.82
  4. Step 4: Simplify right side
    1,190.03x = 1,137,707.43
  5. Step 5: Solve for x
    x = 1,137,707.43/1,190.03
  6. Step 6: Final answer
    x = 956.04

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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.