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Finding the Fourth Proportional to 764.76, 1,055.40 and 454.26

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Solution

The fourth proportional to 764.76, 1,055.40 and 454.26 is: 626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,055.40 = 454.26 : x
  2. Step 2: Convert to fraction form
    764.76/1,055.40 = 454.26/x
  3. Step 3: Cross multiply
    764.76x = 1,055.40 × 454.26
  4. Step 4: Simplify right side
    764.76x = 479,426.00
  5. Step 5: Solve for x
    x = 479,426.00/764.76
  6. Step 6: Final answer
    x = 626.90

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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.