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Finding the Fourth Proportional to 1,445.23, 2,168.36 and 471.33

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Solution

The fourth proportional to 1,445.23, 2,168.36 and 471.33 is: 707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.23 : 2,168.36 = 471.33 : x
  2. Step 2: Convert to fraction form
    1,445.23/2,168.36 = 471.33/x
  3. Step 3: Cross multiply
    1,445.23x = 2,168.36 × 471.33
  4. Step 4: Simplify right side
    1,445.23x = 1,022,013.12
  5. Step 5: Solve for x
    x = 1,022,013.12/1,445.23
  6. Step 6: Final answer
    x = 707.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.