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Finding the Fourth Proportional to 1,597.49, 2,396.59 and 557.25

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Solution

The fourth proportional to 1,597.49, 2,396.59 and 557.25 is: 835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.49 : 2,396.59 = 557.25 : x
  2. Step 2: Convert to fraction form
    1,597.49/2,396.59 = 557.25/x
  3. Step 3: Cross multiply
    1,597.49x = 2,396.59 × 557.25
  4. Step 4: Simplify right side
    1,597.49x = 1,335,489.40
  5. Step 5: Solve for x
    x = 1,335,489.40/1,597.49
  6. Step 6: Final answer
    x = 835.99

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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.