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Finding the Fourth Proportional to 705.36, 1,051.14 and 682.14

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Solution

The fourth proportional to 705.36, 1,051.14 and 682.14 is: 1,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 1,051.14 = 682.14 : x
  2. Step 2: Convert to fraction form
    705.36/1,051.14 = 682.14/x
  3. Step 3: Cross multiply
    705.36x = 1,051.14 × 682.14
  4. Step 4: Simplify right side
    705.36x = 717,024.64
  5. Step 5: Solve for x
    x = 717,024.64/705.36
  6. Step 6: Final answer
    x = 1,016.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.