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Finding the Fourth Proportional to 1,466.48, 2,200.07 and 492.66

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Solution

The fourth proportional to 1,466.48, 2,200.07 and 492.66 is: 739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.48 : 2,200.07 = 492.66 : x
  2. Step 2: Convert to fraction form
    1,466.48/2,200.07 = 492.66/x
  3. Step 3: Cross multiply
    1,466.48x = 2,200.07 × 492.66
  4. Step 4: Simplify right side
    1,466.48x = 1,083,887.72
  5. Step 5: Solve for x
    x = 1,083,887.72/1,466.48
  6. Step 6: Final answer
    x = 739.11

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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.