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Finding the Fourth Proportional to 1,172.50, 1,751.95 and 889.22

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Solution

The fourth proportional to 1,172.50, 1,751.95 and 889.22 is: 1,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.50 : 1,751.95 = 889.22 : x
  2. Step 2: Convert to fraction form
    1,172.50/1,751.95 = 889.22/x
  3. Step 3: Cross multiply
    1,172.50x = 1,751.95 × 889.22
  4. Step 4: Simplify right side
    1,172.50x = 1,557,868.98
  5. Step 5: Solve for x
    x = 1,557,868.98/1,172.50
  6. Step 6: Final answer
    x = 1,328.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.