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Finding the Fourth Proportional to 1,111.20, 1,666.85 and 289.55

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Solution

The fourth proportional to 1,111.20, 1,666.85 and 289.55 is: 434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.20 : 1,666.85 = 289.55 : x
  2. Step 2: Convert to fraction form
    1,111.20/1,666.85 = 289.55/x
  3. Step 3: Cross multiply
    1,111.20x = 1,666.85 × 289.55
  4. Step 4: Simplify right side
    1,111.20x = 482,639.14
  5. Step 5: Solve for x
    x = 482,639.14/1,111.20
  6. Step 6: Final answer
    x = 434.34

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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.