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Finding the Fourth Proportional to 1,377.36, 2,064.79 and 511.06

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Solution

The fourth proportional to 1,377.36, 2,064.79 and 511.06 is: 766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.36 : 2,064.79 = 511.06 : x
  2. Step 2: Convert to fraction form
    1,377.36/2,064.79 = 511.06/x
  3. Step 3: Cross multiply
    1,377.36x = 2,064.79 × 511.06
  4. Step 4: Simplify right side
    1,377.36x = 1,055,231.58
  5. Step 5: Solve for x
    x = 1,055,231.58/1,377.36
  6. Step 6: Final answer
    x = 766.13

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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.