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Finding the Fourth Proportional to 1,202.29, 1,804.08 and 941.53

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Solution

The fourth proportional to 1,202.29, 1,804.08 and 941.53 is: 1,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.29 : 1,804.08 = 941.53 : x
  2. Step 2: Convert to fraction form
    1,202.29/1,804.08 = 941.53/x
  3. Step 3: Cross multiply
    1,202.29x = 1,804.08 × 941.53
  4. Step 4: Simplify right side
    1,202.29x = 1,698,595.44
  5. Step 5: Solve for x
    x = 1,698,595.44/1,202.29
  6. Step 6: Final answer
    x = 1,412.80

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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.