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Finding the Fourth Proportional to 2,828.25, 4,242.38 and 776.25

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Solution

The fourth proportional to 2,828.25, 4,242.38 and 776.25 is: 1,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.25 : 4,242.38 = 776.25 : x
  2. Step 2: Convert to fraction form
    2,828.25/4,242.38 = 776.25/x
  3. Step 3: Cross multiply
    2,828.25x = 4,242.38 × 776.25
  4. Step 4: Simplify right side
    2,828.25x = 3,293,143.59
  5. Step 5: Solve for x
    x = 3,293,143.59/2,828.25
  6. Step 6: Final answer
    x = 1,164.38

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1.5x scale

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.