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Finding the Fourth Proportional to 1,297.51, 1,790.50 and 708.03

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Solution

The fourth proportional to 1,297.51, 1,790.50 and 708.03 is: 977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.51 : 1,790.50 = 708.03 : x
  2. Step 2: Convert to fraction form
    1,297.51/1,790.50 = 708.03/x
  3. Step 3: Cross multiply
    1,297.51x = 1,790.50 × 708.03
  4. Step 4: Simplify right side
    1,297.51x = 1,267,727.72
  5. Step 5: Solve for x
    x = 1,267,727.72/1,297.51
  6. Step 6: Final answer
    x = 977.05

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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.