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Finding the Fourth Proportional to 774.84, 1,069.29 and 460.36

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Solution

The fourth proportional to 774.84, 1,069.29 and 460.36 is: 635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,069.29 = 460.36 : x
  2. Step 2: Convert to fraction form
    774.84/1,069.29 = 460.36/x
  3. Step 3: Cross multiply
    774.84x = 1,069.29 × 460.36
  4. Step 4: Simplify right side
    774.84x = 492,258.34
  5. Step 5: Solve for x
    x = 492,258.34/774.84
  6. Step 6: Final answer
    x = 635.31

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Double scale
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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.