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Finding the Fourth Proportional to 1,297.33, 1,790.33 and 707.87

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Solution

The fourth proportional to 1,297.33, 1,790.33 and 707.87 is: 976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.33 : 1,790.33 = 707.87 : x
  2. Step 2: Convert to fraction form
    1,297.33/1,790.33 = 707.87/x
  3. Step 3: Cross multiply
    1,297.33x = 1,790.33 × 707.87
  4. Step 4: Simplify right side
    1,297.33x = 1,267,321.83
  5. Step 5: Solve for x
    x = 1,267,321.83/1,297.33
  6. Step 6: Final answer
    x = 976.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.