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Finding the Fourth Proportional to 1,297.16, 1,944.65 and 934.28

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Solution

The fourth proportional to 1,297.16, 1,944.65 and 934.28 is: 1,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.16 : 1,944.65 = 934.28 : x
  2. Step 2: Convert to fraction form
    1,297.16/1,944.65 = 934.28/x
  3. Step 3: Cross multiply
    1,297.16x = 1,944.65 × 934.28
  4. Step 4: Simplify right side
    1,297.16x = 1,816,840.21
  5. Step 5: Solve for x
    x = 1,816,840.21/1,297.16
  6. Step 6: Final answer
    x = 1,400.63

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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.