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Finding the Fourth Proportional to 1,377.12, 2,065.59 and 596.74

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Solution

The fourth proportional to 1,377.12, 2,065.59 and 596.74 is: 895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.12 : 2,065.59 = 596.74 : x
  2. Step 2: Convert to fraction form
    1,377.12/2,065.59 = 596.74/x
  3. Step 3: Cross multiply
    1,377.12x = 2,065.59 × 596.74
  4. Step 4: Simplify right side
    1,377.12x = 1,232,609.85
  5. Step 5: Solve for x
    x = 1,232,609.85/1,377.12
  6. Step 6: Final answer
    x = 895.06

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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.