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Finding the Fourth Proportional to 774.92, 1,069.54 and 460.06

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Solution

The fourth proportional to 774.92, 1,069.54 and 460.06 is: 634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.92 : 1,069.54 = 460.06 : x
  2. Step 2: Convert to fraction form
    774.92/1,069.54 = 460.06/x
  3. Step 3: Cross multiply
    774.92x = 1,069.54 × 460.06
  4. Step 4: Simplify right side
    774.92x = 492,052.57
  5. Step 5: Solve for x
    x = 492,052.57/774.92
  6. Step 6: Final answer
    x = 634.97

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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.