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Finding the Fourth Proportional to 1,111.09, 1,666.74 and 289.36

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Solution

The fourth proportional to 1,111.09, 1,666.74 and 289.36 is: 434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.09 : 1,666.74 = 289.36 : x
  2. Step 2: Convert to fraction form
    1,111.09/1,666.74 = 289.36/x
  3. Step 3: Cross multiply
    1,111.09x = 1,666.74 × 289.36
  4. Step 4: Simplify right side
    1,111.09x = 482,287.89
  5. Step 5: Solve for x
    x = 482,287.89/1,111.09
  6. Step 6: Final answer
    x = 434.07

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Why These Related Problems?

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