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Finding the Fourth Proportional to 775.93, 1,070.44 and 465.25

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Solution

The fourth proportional to 775.93, 1,070.44 and 465.25 is: 641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.93 : 1,070.44 = 465.25 : x
  2. Step 2: Convert to fraction form
    775.93/1,070.44 = 465.25/x
  3. Step 3: Cross multiply
    775.93x = 1,070.44 × 465.25
  4. Step 4: Simplify right side
    775.93x = 498,022.21
  5. Step 5: Solve for x
    x = 498,022.21/775.93
  6. Step 6: Final answer
    x = 641.84

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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.