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Finding the Fourth Proportional to 1,204.01, 1,806.09 and 509.99

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Solution

The fourth proportional to 1,204.01, 1,806.09 and 509.99 is: 765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.01 : 1,806.09 = 509.99 : x
  2. Step 2: Convert to fraction form
    1,204.01/1,806.09 = 509.99/x
  3. Step 3: Cross multiply
    1,204.01x = 1,806.09 × 509.99
  4. Step 4: Simplify right side
    1,204.01x = 921,078.81
  5. Step 5: Solve for x
    x = 921,078.81/1,204.01
  6. Step 6: Final answer
    x = 765.01

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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.