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Finding the Fourth Proportional to 1,215.94, 1,678.54 and 774.44

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Solution

The fourth proportional to 1,215.94, 1,678.54 and 774.44 is: 1,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.94 : 1,678.54 = 774.44 : x
  2. Step 2: Convert to fraction form
    1,215.94/1,678.54 = 774.44/x
  3. Step 3: Cross multiply
    1,215.94x = 1,678.54 × 774.44
  4. Step 4: Simplify right side
    1,215.94x = 1,299,928.52
  5. Step 5: Solve for x
    x = 1,299,928.52/1,215.94
  6. Step 6: Final answer
    x = 1,069.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.