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Finding the Fourth Proportional to 705.60, 973.29 and 519.57

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Solution

The fourth proportional to 705.60, 973.29 and 519.57 is: 716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 973.29 = 519.57 : x
  2. Step 2: Convert to fraction form
    705.60/973.29 = 519.57/x
  3. Step 3: Cross multiply
    705.60x = 973.29 × 519.57
  4. Step 4: Simplify right side
    705.60x = 505,692.29
  5. Step 5: Solve for x
    x = 505,692.29/705.60
  6. Step 6: Final answer
    x = 716.68

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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.