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Finding the Fourth Proportional to 745.53, 1,117.74 and 355.29

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Solution

The fourth proportional to 745.53, 1,117.74 and 355.29 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.53 : 1,117.74 = 355.29 : x
  2. Step 2: Convert to fraction form
    745.53/1,117.74 = 355.29/x
  3. Step 3: Cross multiply
    745.53x = 1,117.74 × 355.29
  4. Step 4: Simplify right side
    745.53x = 397,121.84
  5. Step 5: Solve for x
    x = 397,121.84/745.53
  6. Step 6: Final answer
    x = 532.67

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Why These Related Problems?

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