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Finding the Fourth Proportional to 975.24, 1,463.67 and 734.67

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Solution

The fourth proportional to 975.24, 1,463.67 and 734.67 is: 1,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.24 : 1,463.67 = 734.67 : x
  2. Step 2: Convert to fraction form
    975.24/1,463.67 = 734.67/x
  3. Step 3: Cross multiply
    975.24x = 1,463.67 × 734.67
  4. Step 4: Simplify right side
    975.24x = 1,075,314.44
  5. Step 5: Solve for x
    x = 1,075,314.44/975.24
  6. Step 6: Final answer
    x = 1,102.62

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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.