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Finding the Fourth Proportional to 1,377.35, 2,063.99 and 828.89

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Solution

The fourth proportional to 1,377.35, 2,063.99 and 828.89 is: 1,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.35 : 2,063.99 = 828.89 : x
  2. Step 2: Convert to fraction form
    1,377.35/2,063.99 = 828.89/x
  3. Step 3: Cross multiply
    1,377.35x = 2,063.99 × 828.89
  4. Step 4: Simplify right side
    1,377.35x = 1,710,816.53
  5. Step 5: Solve for x
    x = 1,710,816.53/1,377.35
  6. Step 6: Final answer
    x = 1,242.11

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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.