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Finding the Fourth Proportional to 1,223.94, 1,834.14 and 637.67

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Solution

The fourth proportional to 1,223.94, 1,834.14 and 637.67 is: 955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.94 : 1,834.14 = 637.67 : x
  2. Step 2: Convert to fraction form
    1,223.94/1,834.14 = 637.67/x
  3. Step 3: Cross multiply
    1,223.94x = 1,834.14 × 637.67
  4. Step 4: Simplify right side
    1,223.94x = 1,169,583.03
  5. Step 5: Solve for x
    x = 1,169,583.03/1,223.94
  6. Step 6: Final answer
    x = 955.59

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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.