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Finding the Fourth Proportional to 1,596.04, 2,394.47 and 622.42

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Solution

The fourth proportional to 1,596.04, 2,394.47 and 622.42 is: 933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.04 : 2,394.47 = 622.42 : x
  2. Step 2: Convert to fraction form
    1,596.04/2,394.47 = 622.42/x
  3. Step 3: Cross multiply
    1,596.04x = 2,394.47 × 622.42
  4. Step 4: Simplify right side
    1,596.04x = 1,490,366.02
  5. Step 5: Solve for x
    x = 1,490,366.02/1,596.04
  6. Step 6: Final answer
    x = 933.79

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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.