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Finding the Fourth Proportional to 1,597.22, 2,395.79 and 557.21

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Solution

The fourth proportional to 1,597.22, 2,395.79 and 557.21 is: 835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.22 : 2,395.79 = 557.21 : x
  2. Step 2: Convert to fraction form
    1,597.22/2,395.79 = 557.21/x
  3. Step 3: Cross multiply
    1,597.22x = 2,395.79 × 557.21
  4. Step 4: Simplify right side
    1,597.22x = 1,334,943.38
  5. Step 5: Solve for x
    x = 1,334,943.38/1,597.22
  6. Step 6: Final answer
    x = 835.79

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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.