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Finding the Fourth Proportional to 1,594.19, 2,392.19 and 620.36

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Solution

The fourth proportional to 1,594.19, 2,392.19 and 620.36 is: 930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.19 : 2,392.19 = 620.36 : x
  2. Step 2: Convert to fraction form
    1,594.19/2,392.19 = 620.36/x
  3. Step 3: Cross multiply
    1,594.19x = 2,392.19 × 620.36
  4. Step 4: Simplify right side
    1,594.19x = 1,484,003.93
  5. Step 5: Solve for x
    x = 1,484,003.93/1,594.19
  6. Step 6: Final answer
    x = 930.89

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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.