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Finding the Fourth Proportional to 1,084.32, 1,625.81 and 434.30

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Solution

The fourth proportional to 1,084.32, 1,625.81 and 434.30 is: 651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.32 : 1,625.81 = 434.30 : x
  2. Step 2: Convert to fraction form
    1,084.32/1,625.81 = 434.30/x
  3. Step 3: Cross multiply
    1,084.32x = 1,625.81 × 434.30
  4. Step 4: Simplify right side
    1,084.32x = 706,078.98
  5. Step 5: Solve for x
    x = 706,078.98/1,084.32
  6. Step 6: Final answer
    x = 651.17

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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.