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Finding the Fourth Proportional to 750.64, 1,035.81 and 451.94

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Solution

The fourth proportional to 750.64, 1,035.81 and 451.94 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.64 : 1,035.81 = 451.94 : x
  2. Step 2: Convert to fraction form
    750.64/1,035.81 = 451.94/x
  3. Step 3: Cross multiply
    750.64x = 1,035.81 × 451.94
  4. Step 4: Simplify right side
    750.64x = 468,120.49
  5. Step 5: Solve for x
    x = 468,120.49/750.64
  6. Step 6: Final answer
    x = 623.63

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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.