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Finding the Fourth Proportional to 1,204.16, 1,804.80 and 434.24

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Solution

The fourth proportional to 1,204.16, 1,804.80 and 434.24 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.16 : 1,804.80 = 434.24 : x
  2. Step 2: Convert to fraction form
    1,204.16/1,804.80 = 434.24/x
  3. Step 3: Cross multiply
    1,204.16x = 1,804.80 × 434.24
  4. Step 4: Simplify right side
    1,204.16x = 783,716.35
  5. Step 5: Solve for x
    x = 783,716.35/1,204.16
  6. Step 6: Final answer
    x = 650.84

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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.