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Finding the Fourth Proportional to 1,165.86, 1,747.22 and 434.70

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Solution

The fourth proportional to 1,165.86, 1,747.22 and 434.70 is: 651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.86 : 1,747.22 = 434.70 : x
  2. Step 2: Convert to fraction form
    1,165.86/1,747.22 = 434.70/x
  3. Step 3: Cross multiply
    1,165.86x = 1,747.22 × 434.70
  4. Step 4: Simplify right side
    1,165.86x = 759,516.53
  5. Step 5: Solve for x
    x = 759,516.53/1,165.86
  6. Step 6: Final answer
    x = 651.46

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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.