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Finding the Fourth Proportional to 705.64, 971.58 and 580.90

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Solution

The fourth proportional to 705.64, 971.58 and 580.90 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.64 : 971.58 = 580.90 : x
  2. Step 2: Convert to fraction form
    705.64/971.58 = 580.90/x
  3. Step 3: Cross multiply
    705.64x = 971.58 × 580.90
  4. Step 4: Simplify right side
    705.64x = 564,390.82
  5. Step 5: Solve for x
    x = 564,390.82/705.64
  6. Step 6: Final answer
    x = 799.83

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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.