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Finding the Fourth Proportional to 1,212.40, 1,818.06 and 346.51

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Solution

The fourth proportional to 1,212.40, 1,818.06 and 346.51 is: 519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.40 : 1,818.06 = 346.51 : x
  2. Step 2: Convert to fraction form
    1,212.40/1,818.06 = 346.51/x
  3. Step 3: Cross multiply
    1,212.40x = 1,818.06 × 346.51
  4. Step 4: Simplify right side
    1,212.40x = 629,975.97
  5. Step 5: Solve for x
    x = 629,975.97/1,212.40
  6. Step 6: Final answer
    x = 519.61

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Double scale
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1.5x scale

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.