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Finding the Fourth Proportional to 1,297.58, 1,790.69 and 708.15

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Solution

The fourth proportional to 1,297.58, 1,790.69 and 708.15 is: 977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.58 : 1,790.69 = 708.15 : x
  2. Step 2: Convert to fraction form
    1,297.58/1,790.69 = 708.15/x
  3. Step 3: Cross multiply
    1,297.58x = 1,790.69 × 708.15
  4. Step 4: Simplify right side
    1,297.58x = 1,268,073.58
  5. Step 5: Solve for x
    x = 1,268,073.58/1,297.58
  6. Step 6: Final answer
    x = 977.26

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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.