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Finding the Fourth Proportional to 764.01, 1,054.62 and 564.48

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Solution

The fourth proportional to 764.01, 1,054.62 and 564.48 is: 779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.01 : 1,054.62 = 564.48 : x
  2. Step 2: Convert to fraction form
    764.01/1,054.62 = 564.48/x
  3. Step 3: Cross multiply
    764.01x = 1,054.62 × 564.48
  4. Step 4: Simplify right side
    764.01x = 595,311.90
  5. Step 5: Solve for x
    x = 595,311.90/764.01
  6. Step 6: Final answer
    x = 779.19

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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.