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Finding the Fourth Proportional to 1,231.49, 1,698.62 and 936.24

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Solution

The fourth proportional to 1,231.49, 1,698.62 and 936.24 is: 1,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.49 : 1,698.62 = 936.24 : x
  2. Step 2: Convert to fraction form
    1,231.49/1,698.62 = 936.24/x
  3. Step 3: Cross multiply
    1,231.49x = 1,698.62 × 936.24
  4. Step 4: Simplify right side
    1,231.49x = 1,590,311.31
  5. Step 5: Solve for x
    x = 1,590,311.31/1,231.49
  6. Step 6: Final answer
    x = 1,291.38

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Double scale
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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.