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Finding the Fourth Proportional to 779.00, 1,074.82 and 464.06

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Solution

The fourth proportional to 779.00, 1,074.82 and 464.06 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.00 : 1,074.82 = 464.06 : x
  2. Step 2: Convert to fraction form
    779.00/1,074.82 = 464.06/x
  3. Step 3: Cross multiply
    779.00x = 1,074.82 × 464.06
  4. Step 4: Simplify right side
    779.00x = 498,776.18
  5. Step 5: Solve for x
    x = 498,776.18/779.00
  6. Step 6: Final answer
    x = 640.28

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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.