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Finding the Fourth Proportional to 1,257.37, 1,735.19 and 697.86

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Solution

The fourth proportional to 1,257.37, 1,735.19 and 697.86 is: 963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.37 : 1,735.19 = 697.86 : x
  2. Step 2: Convert to fraction form
    1,257.37/1,735.19 = 697.86/x
  3. Step 3: Cross multiply
    1,257.37x = 1,735.19 × 697.86
  4. Step 4: Simplify right side
    1,257.37x = 1,210,918.82
  5. Step 5: Solve for x
    x = 1,210,918.82/1,257.37
  6. Step 6: Final answer
    x = 963.06

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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.