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Finding the Fourth Proportional to 1,376.98, 2,065.46 and 596.95

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Solution

The fourth proportional to 1,376.98, 2,065.46 and 596.95 is: 895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.98 : 2,065.46 = 596.95 : x
  2. Step 2: Convert to fraction form
    1,376.98/2,065.46 = 596.95/x
  3. Step 3: Cross multiply
    1,376.98x = 2,065.46 × 596.95
  4. Step 4: Simplify right side
    1,376.98x = 1,232,976.35
  5. Step 5: Solve for x
    x = 1,232,976.35/1,376.98
  6. Step 6: Final answer
    x = 895.42

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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.