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Finding the Fourth Proportional to 764.12, 1,054.54 and 568.20

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Solution

The fourth proportional to 764.12, 1,054.54 and 568.20 is: 784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.12 : 1,054.54 = 568.20 : x
  2. Step 2: Convert to fraction form
    764.12/1,054.54 = 568.20/x
  3. Step 3: Cross multiply
    764.12x = 1,054.54 × 568.20
  4. Step 4: Simplify right side
    764.12x = 599,189.63
  5. Step 5: Solve for x
    x = 599,189.63/764.12
  6. Step 6: Final answer
    x = 784.16

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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.