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Finding the Fourth Proportional to 1,297.71, 1,944.23 and 712.08

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Solution

The fourth proportional to 1,297.71, 1,944.23 and 712.08 is: 1,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.71 : 1,944.23 = 712.08 : x
  2. Step 2: Convert to fraction form
    1,297.71/1,944.23 = 712.08/x
  3. Step 3: Cross multiply
    1,297.71x = 1,944.23 × 712.08
  4. Step 4: Simplify right side
    1,297.71x = 1,384,443.74
  5. Step 5: Solve for x
    x = 1,384,443.74/1,297.71
  6. Step 6: Final answer
    x = 1,066.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.