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Finding the Fourth Proportional to 1,257.06, 1,734.81 and 697.59

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Solution

The fourth proportional to 1,257.06, 1,734.81 and 697.59 is: 962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.06 : 1,734.81 = 697.59 : x
  2. Step 2: Convert to fraction form
    1,257.06/1,734.81 = 697.59/x
  3. Step 3: Cross multiply
    1,257.06x = 1,734.81 × 697.59
  4. Step 4: Simplify right side
    1,257.06x = 1,210,186.11
  5. Step 5: Solve for x
    x = 1,210,186.11/1,257.06
  6. Step 6: Final answer
    x = 962.71

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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.