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Finding the Fourth Proportional to 775.10, 1,069.61 and 460.57

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Solution

The fourth proportional to 775.10, 1,069.61 and 460.57 is: 635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.10 : 1,069.61 = 460.57 : x
  2. Step 2: Convert to fraction form
    775.10/1,069.61 = 460.57/x
  3. Step 3: Cross multiply
    775.10x = 1,069.61 × 460.57
  4. Step 4: Simplify right side
    775.10x = 492,627.31
  5. Step 5: Solve for x
    x = 492,627.31/775.10
  6. Step 6: Final answer
    x = 635.56

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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.