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Finding the Fourth Proportional to 1,122.62, 1,684.04 and 464.36

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Solution

The fourth proportional to 1,122.62, 1,684.04 and 464.36 is: 696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.62 : 1,684.04 = 464.36 : x
  2. Step 2: Convert to fraction form
    1,122.62/1,684.04 = 464.36/x
  3. Step 3: Cross multiply
    1,122.62x = 1,684.04 × 464.36
  4. Step 4: Simplify right side
    1,122.62x = 781,990.07
  5. Step 5: Solve for x
    x = 781,990.07/1,122.62
  6. Step 6: Final answer
    x = 696.58

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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.