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Finding the Fourth Proportional to 1,297.14, 1,790.19 and 766.29

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Solution

The fourth proportional to 1,297.14, 1,790.19 and 766.29 is: 1,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.14 : 1,790.19 = 766.29 : x
  2. Step 2: Convert to fraction form
    1,297.14/1,790.19 = 766.29/x
  3. Step 3: Cross multiply
    1,297.14x = 1,790.19 × 766.29
  4. Step 4: Simplify right side
    1,297.14x = 1,371,795.23
  5. Step 5: Solve for x
    x = 1,371,795.23/1,297.14
  6. Step 6: Final answer
    x = 1,057.55

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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.