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Finding the Fourth Proportional to 1,466.95, 2,200.66 and 492.83

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Solution

The fourth proportional to 1,466.95, 2,200.66 and 492.83 is: 739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.95 : 2,200.66 = 492.83 : x
  2. Step 2: Convert to fraction form
    1,466.95/2,200.66 = 492.83/x
  3. Step 3: Cross multiply
    1,466.95x = 2,200.66 × 492.83
  4. Step 4: Simplify right side
    1,466.95x = 1,084,548.80
  5. Step 5: Solve for x
    x = 1,084,548.80/1,466.95
  6. Step 6: Final answer
    x = 739.32

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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.