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Finding the Fourth Proportional to 1,148.63, 1,722.94 and 455.67

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Solution

The fourth proportional to 1,148.63, 1,722.94 and 455.67 is: 683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.63 : 1,722.94 = 455.67 : x
  2. Step 2: Convert to fraction form
    1,148.63/1,722.94 = 455.67/x
  3. Step 3: Cross multiply
    1,148.63x = 1,722.94 × 455.67
  4. Step 4: Simplify right side
    1,148.63x = 785,090.93
  5. Step 5: Solve for x
    x = 785,090.93/1,148.63
  6. Step 6: Final answer
    x = 683.51

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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.