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Finding the Fourth Proportional to 705.77, 1,057.83 and 431.99

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Solution

The fourth proportional to 705.77, 1,057.83 and 431.99 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.77 : 1,057.83 = 431.99 : x
  2. Step 2: Convert to fraction form
    705.77/1,057.83 = 431.99/x
  3. Step 3: Cross multiply
    705.77x = 1,057.83 × 431.99
  4. Step 4: Simplify right side
    705.77x = 456,971.98
  5. Step 5: Solve for x
    x = 456,971.98/705.77
  6. Step 6: Final answer
    x = 647.48

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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.