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Finding the Fourth Proportional to 1,297.04, 1,789.94 and 737.42

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Solution

The fourth proportional to 1,297.04, 1,789.94 and 737.42 is: 1,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.04 : 1,789.94 = 737.42 : x
  2. Step 2: Convert to fraction form
    1,297.04/1,789.94 = 737.42/x
  3. Step 3: Cross multiply
    1,297.04x = 1,789.94 × 737.42
  4. Step 4: Simplify right side
    1,297.04x = 1,319,933.87
  5. Step 5: Solve for x
    x = 1,319,933.87/1,297.04
  6. Step 6: Final answer
    x = 1,017.65

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1.5x scale

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.