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Finding the Fourth Proportional to 1,204.13, 1,804.71 and 684.56

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Solution

The fourth proportional to 1,204.13, 1,804.71 and 684.56 is: 1,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.13 : 1,804.71 = 684.56 : x
  2. Step 2: Convert to fraction form
    1,204.13/1,804.71 = 684.56/x
  3. Step 3: Cross multiply
    1,204.13x = 1,804.71 × 684.56
  4. Step 4: Simplify right side
    1,204.13x = 1,235,438.50
  5. Step 5: Solve for x
    x = 1,235,438.50/1,204.13
  6. Step 6: Final answer
    x = 1,026.00

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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.