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Finding the Fourth Proportional to 1,596.87, 2,393.21 and 774.02

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Solution

The fourth proportional to 1,596.87, 2,393.21 and 774.02 is: 1,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.87 : 2,393.21 = 774.02 : x
  2. Step 2: Convert to fraction form
    1,596.87/2,393.21 = 774.02/x
  3. Step 3: Cross multiply
    1,596.87x = 2,393.21 × 774.02
  4. Step 4: Simplify right side
    1,596.87x = 1,852,400.32
  5. Step 5: Solve for x
    x = 1,852,400.32/1,596.87
  6. Step 6: Final answer
    x = 1,160.02

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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.