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Finding the Fourth Proportional to 705.57, 1,059.24 and 575.82

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Solution

The fourth proportional to 705.57, 1,059.24 and 575.82 is: 864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.57 : 1,059.24 = 575.82 : x
  2. Step 2: Convert to fraction form
    705.57/1,059.24 = 575.82/x
  3. Step 3: Cross multiply
    705.57x = 1,059.24 × 575.82
  4. Step 4: Simplify right side
    705.57x = 609,933.74
  5. Step 5: Solve for x
    x = 609,933.74/705.57
  6. Step 6: Final answer
    x = 864.46

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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.