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Finding the Fourth Proportional to 749.94, 1,125.05 and 263.04

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Solution

The fourth proportional to 749.94, 1,125.05 and 263.04 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.94 : 1,125.05 = 263.04 : x
  2. Step 2: Convert to fraction form
    749.94/1,125.05 = 263.04/x
  3. Step 3: Cross multiply
    749.94x = 1,125.05 × 263.04
  4. Step 4: Simplify right side
    749.94x = 295,931.84
  5. Step 5: Solve for x
    x = 295,931.84/749.94
  6. Step 6: Final answer
    x = 394.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.