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Finding the Fourth Proportional to 1,597.06, 2,396.49 and 622.93

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Solution

The fourth proportional to 1,597.06, 2,396.49 and 622.93 is: 934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.06 : 2,396.49 = 622.93 : x
  2. Step 2: Convert to fraction form
    1,597.06/2,396.49 = 622.93/x
  3. Step 3: Cross multiply
    1,597.06x = 2,396.49 × 622.93
  4. Step 4: Simplify right side
    1,597.06x = 1,492,846.94
  5. Step 5: Solve for x
    x = 1,492,846.94/1,597.06
  6. Step 6: Final answer
    x = 934.75

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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.