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Finding the Fourth Proportional to 1,111.06, 1,666.62 and 289.37

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Solution

The fourth proportional to 1,111.06, 1,666.62 and 289.37 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.06 : 1,666.62 = 289.37 : x
  2. Step 2: Convert to fraction form
    1,111.06/1,666.62 = 289.37/x
  3. Step 3: Cross multiply
    1,111.06x = 1,666.62 × 289.37
  4. Step 4: Simplify right side
    1,111.06x = 482,269.83
  5. Step 5: Solve for x
    x = 482,269.83/1,111.06
  6. Step 6: Final answer
    x = 434.06

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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.