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Finding the Fourth Proportional to 745.53, 1,118.34 and 312.54

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Solution

The fourth proportional to 745.53, 1,118.34 and 312.54 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.53 : 1,118.34 = 312.54 : x
  2. Step 2: Convert to fraction form
    745.53/1,118.34 = 312.54/x
  3. Step 3: Cross multiply
    745.53x = 1,118.34 × 312.54
  4. Step 4: Simplify right side
    745.53x = 349,525.98
  5. Step 5: Solve for x
    x = 349,525.98/745.53
  6. Step 6: Final answer
    x = 468.83

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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.