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Finding the Fourth Proportional to 1,445.21, 2,165.87 and 750.43

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Solution

The fourth proportional to 1,445.21, 2,165.87 and 750.43 is: 1,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.21 : 2,165.87 = 750.43 : x
  2. Step 2: Convert to fraction form
    1,445.21/2,165.87 = 750.43/x
  3. Step 3: Cross multiply
    1,445.21x = 2,165.87 × 750.43
  4. Step 4: Simplify right side
    1,445.21x = 1,625,338.41
  5. Step 5: Solve for x
    x = 1,625,338.41/1,445.21
  6. Step 6: Final answer
    x = 1,124.64

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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.