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Finding the Fourth Proportional to 1,466.69, 2,199.57 and 492.57

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Solution

The fourth proportional to 1,466.69, 2,199.57 and 492.57 is: 738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.69 : 2,199.57 = 492.57 : x
  2. Step 2: Convert to fraction form
    1,466.69/2,199.57 = 492.57/x
  3. Step 3: Cross multiply
    1,466.69x = 2,199.57 × 492.57
  4. Step 4: Simplify right side
    1,466.69x = 1,083,442.19
  5. Step 5: Solve for x
    x = 1,083,442.19/1,466.69
  6. Step 6: Final answer
    x = 738.70

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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.