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Finding the Fourth Proportional to 1,196.54, 1,793.53 and 455.79

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Solution

The fourth proportional to 1,196.54, 1,793.53 and 455.79 is: 683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.54 : 1,793.53 = 455.79 : x
  2. Step 2: Convert to fraction form
    1,196.54/1,793.53 = 455.79/x
  3. Step 3: Cross multiply
    1,196.54x = 1,793.53 × 455.79
  4. Step 4: Simplify right side
    1,196.54x = 817,477.77
  5. Step 5: Solve for x
    x = 817,477.77/1,196.54
  6. Step 6: Final answer
    x = 683.20

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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.