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Finding the Fourth Proportional to 697.01, 957.83 and 580.37

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Solution

The fourth proportional to 697.01, 957.83 and 580.37 is: 797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.01 : 957.83 = 580.37 : x
  2. Step 2: Convert to fraction form
    697.01/957.83 = 580.37/x
  3. Step 3: Cross multiply
    697.01x = 957.83 × 580.37
  4. Step 4: Simplify right side
    697.01x = 555,888.11
  5. Step 5: Solve for x
    x = 555,888.11/697.01
  6. Step 6: Final answer
    x = 797.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.