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Finding the Fourth Proportional to 1,213.48, 1,821.27 and 751.67

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Solution

The fourth proportional to 1,213.48, 1,821.27 and 751.67 is: 1,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.48 : 1,821.27 = 751.67 : x
  2. Step 2: Convert to fraction form
    1,213.48/1,821.27 = 751.67/x
  3. Step 3: Cross multiply
    1,213.48x = 1,821.27 × 751.67
  4. Step 4: Simplify right side
    1,213.48x = 1,368,994.02
  5. Step 5: Solve for x
    x = 1,368,994.02/1,213.48
  6. Step 6: Final answer
    x = 1,128.16

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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.