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Finding the Fourth Proportional to 1,111.26, 1,666.95 and 289.56

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Solution

The fourth proportional to 1,111.26, 1,666.95 and 289.56 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.26 : 1,666.95 = 289.56 : x
  2. Step 2: Convert to fraction form
    1,111.26/1,666.95 = 289.56/x
  3. Step 3: Cross multiply
    1,111.26x = 1,666.95 × 289.56
  4. Step 4: Simplify right side
    1,111.26x = 482,682.04
  5. Step 5: Solve for x
    x = 482,682.04/1,111.26
  6. Step 6: Final answer
    x = 434.36

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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.