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Finding the Fourth Proportional to 1,122.54, 1,684.79 and 464.79

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Solution

The fourth proportional to 1,122.54, 1,684.79 and 464.79 is: 697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.54 : 1,684.79 = 464.79 : x
  2. Step 2: Convert to fraction form
    1,122.54/1,684.79 = 464.79/x
  3. Step 3: Cross multiply
    1,122.54x = 1,684.79 × 464.79
  4. Step 4: Simplify right side
    1,122.54x = 783,071.22
  5. Step 5: Solve for x
    x = 783,071.22/1,122.54
  6. Step 6: Final answer
    x = 697.59

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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.