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Finding the Fourth Proportional to 1,597.16, 2,393.67 and 622.73

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Solution

The fourth proportional to 1,597.16, 2,393.67 and 622.73 is: 933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.16 : 2,393.67 = 622.73 : x
  2. Step 2: Convert to fraction form
    1,597.16/2,393.67 = 622.73/x
  3. Step 3: Cross multiply
    1,597.16x = 2,393.67 × 622.73
  4. Step 4: Simplify right side
    1,597.16x = 1,490,610.12
  5. Step 5: Solve for x
    x = 1,490,610.12/1,597.16
  6. Step 6: Final answer
    x = 933.29

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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.