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Finding the Fourth Proportional to 1,190.50, 1,642.62 and 692.98

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Solution

The fourth proportional to 1,190.50, 1,642.62 and 692.98 is: 956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.50 : 1,642.62 = 692.98 : x
  2. Step 2: Convert to fraction form
    1,190.50/1,642.62 = 692.98/x
  3. Step 3: Cross multiply
    1,190.50x = 1,642.62 × 692.98
  4. Step 4: Simplify right side
    1,190.50x = 1,138,302.81
  5. Step 5: Solve for x
    x = 1,138,302.81/1,190.50
  6. Step 6: Final answer
    x = 956.16

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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.