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Finding the Fourth Proportional to 1,597.84, 2,396.00 and 596.50

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Solution

The fourth proportional to 1,597.84, 2,396.00 and 596.50 is: 894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.84 : 2,396.00 = 596.50 : x
  2. Step 2: Convert to fraction form
    1,597.84/2,396.00 = 596.50/x
  3. Step 3: Cross multiply
    1,597.84x = 2,396.00 × 596.50
  4. Step 4: Simplify right side
    1,597.84x = 1,429,222.98
  5. Step 5: Solve for x
    x = 1,429,222.98/1,597.84
  6. Step 6: Final answer
    x = 894.47

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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.