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Finding the Fourth Proportional to 775.32, 1,069.68 and 460.50

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Solution

The fourth proportional to 775.32, 1,069.68 and 460.50 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.32 : 1,069.68 = 460.50 : x
  2. Step 2: Convert to fraction form
    775.32/1,069.68 = 460.50/x
  3. Step 3: Cross multiply
    775.32x = 1,069.68 × 460.50
  4. Step 4: Simplify right side
    775.32x = 492,587.64
  5. Step 5: Solve for x
    x = 492,587.64/775.32
  6. Step 6: Final answer
    x = 635.33

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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.