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Finding the Fourth Proportional to 1,596.51, 2,392.13 and 622.08

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Solution

The fourth proportional to 1,596.51, 2,392.13 and 622.08 is: 932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.51 : 2,392.13 = 622.08 : x
  2. Step 2: Convert to fraction form
    1,596.51/2,392.13 = 622.08/x
  3. Step 3: Cross multiply
    1,596.51x = 2,392.13 × 622.08
  4. Step 4: Simplify right side
    1,596.51x = 1,488,097.79
  5. Step 5: Solve for x
    x = 1,488,097.79/1,596.51
  6. Step 6: Final answer
    x = 932.09

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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.