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Finding the Fourth Proportional to 1,257.35, 1,734.95 and 697.81

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Solution

The fourth proportional to 1,257.35, 1,734.95 and 697.81 is: 962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.35 : 1,734.95 = 697.81 : x
  2. Step 2: Convert to fraction form
    1,257.35/1,734.95 = 697.81/x
  3. Step 3: Cross multiply
    1,257.35x = 1,734.95 × 697.81
  4. Step 4: Simplify right side
    1,257.35x = 1,210,666.44
  5. Step 5: Solve for x
    x = 1,210,666.44/1,257.35
  6. Step 6: Final answer
    x = 962.87

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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.