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Finding the Fourth Proportional to 1,597.21, 2,395.71 and 557.23

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Solution

The fourth proportional to 1,597.21, 2,395.71 and 557.23 is: 835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.21 : 2,395.71 = 557.23 : x
  2. Step 2: Convert to fraction form
    1,597.21/2,395.71 = 557.23/x
  3. Step 3: Cross multiply
    1,597.21x = 2,395.71 × 557.23
  4. Step 4: Simplify right side
    1,597.21x = 1,334,961.48
  5. Step 5: Solve for x
    x = 1,334,961.48/1,597.21
  6. Step 6: Final answer
    x = 835.81

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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.