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Finding the Fourth Proportional to 705.91, 973 and 565.78

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Solution

The fourth proportional to 705.91, 973 and 565.78 is: 779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.91 : 973 = 565.78 : x
  2. Step 2: Convert to fraction form
    705.91/973 = 565.78/x
  3. Step 3: Cross multiply
    705.91x = 973 × 565.78
  4. Step 4: Simplify right side
    705.91x = 550,503.94
  5. Step 5: Solve for x
    x = 550,503.94/705.91
  6. Step 6: Final answer
    x = 779.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.