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Finding the Fourth Proportional to 1,192.01, 1,788.12 and 411.90

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Solution

The fourth proportional to 1,192.01, 1,788.12 and 411.90 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.01 : 1,788.12 = 411.90 : x
  2. Step 2: Convert to fraction form
    1,192.01/1,788.12 = 411.90/x
  3. Step 3: Cross multiply
    1,192.01x = 1,788.12 × 411.90
  4. Step 4: Simplify right side
    1,192.01x = 736,526.63
  5. Step 5: Solve for x
    x = 736,526.63/1,192.01
  6. Step 6: Final answer
    x = 617.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.