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Finding the Fourth Proportional to 764.13, 1,054.50 and 414.82

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Solution

The fourth proportional to 764.13, 1,054.50 and 414.82 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.13 : 1,054.50 = 414.82 : x
  2. Step 2: Convert to fraction form
    764.13/1,054.50 = 414.82/x
  3. Step 3: Cross multiply
    764.13x = 1,054.50 × 414.82
  4. Step 4: Simplify right side
    764.13x = 437,427.69
  5. Step 5: Solve for x
    x = 437,427.69/764.13
  6. Step 6: Final answer
    x = 572.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.