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Finding the Fourth Proportional to 1,597.53, 2,395.69 and 557.26

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Solution

The fourth proportional to 1,597.53, 2,395.69 and 557.26 is: 835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.53 : 2,395.69 = 557.26 : x
  2. Step 2: Convert to fraction form
    1,597.53/2,395.69 = 557.26/x
  3. Step 3: Cross multiply
    1,597.53x = 2,395.69 × 557.26
  4. Step 4: Simplify right side
    1,597.53x = 1,335,022.21
  5. Step 5: Solve for x
    x = 1,335,022.21/1,597.53
  6. Step 6: Final answer
    x = 835.68

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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.