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Finding the Fourth Proportional to 1,084.10, 1,625.67 and 434.66

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Solution

The fourth proportional to 1,084.10, 1,625.67 and 434.66 is: 651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.10 : 1,625.67 = 434.66 : x
  2. Step 2: Convert to fraction form
    1,084.10/1,625.67 = 434.66/x
  3. Step 3: Cross multiply
    1,084.10x = 1,625.67 × 434.66
  4. Step 4: Simplify right side
    1,084.10x = 706,613.72
  5. Step 5: Solve for x
    x = 706,613.72/1,084.10
  6. Step 6: Final answer
    x = 651.80

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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.