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Finding the Fourth Proportional to 1,597.34, 2,395.43 and 557.09

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Solution

The fourth proportional to 1,597.34, 2,395.43 and 557.09 is: 835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.34 : 2,395.43 = 557.09 : x
  2. Step 2: Convert to fraction form
    1,597.34/2,395.43 = 557.09/x
  3. Step 3: Cross multiply
    1,597.34x = 2,395.43 × 557.09
  4. Step 4: Simplify right side
    1,597.34x = 1,334,455.34
  5. Step 5: Solve for x
    x = 1,334,455.34/1,597.34
  6. Step 6: Final answer
    x = 835.43

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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.