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Finding the Fourth Proportional to 1,204.09, 1,806.14 and 589.01

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Solution

The fourth proportional to 1,204.09, 1,806.14 and 589.01 is: 883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.09 : 1,806.14 = 589.01 : x
  2. Step 2: Convert to fraction form
    1,204.09/1,806.14 = 589.01/x
  3. Step 3: Cross multiply
    1,204.09x = 1,806.14 × 589.01
  4. Step 4: Simplify right side
    1,204.09x = 1,063,826.96
  5. Step 5: Solve for x
    x = 1,063,826.96/1,204.09
  6. Step 6: Final answer
    x = 883.51

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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.