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Finding the Fourth Proportional to 1,196.42, 1,650.87 and 692.06

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Solution

The fourth proportional to 1,196.42, 1,650.87 and 692.06 is: 954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.42 : 1,650.87 = 692.06 : x
  2. Step 2: Convert to fraction form
    1,196.42/1,650.87 = 692.06/x
  3. Step 3: Cross multiply
    1,196.42x = 1,650.87 × 692.06
  4. Step 4: Simplify right side
    1,196.42x = 1,142,492.84
  5. Step 5: Solve for x
    x = 1,142,492.84/1,196.42
  6. Step 6: Final answer
    x = 954.93

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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.