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Finding the Fourth Proportional to 1,445.19, 2,165.90 and 580.11

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Solution

The fourth proportional to 1,445.19, 2,165.90 and 580.11 is: 869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.19 : 2,165.90 = 580.11 : x
  2. Step 2: Convert to fraction form
    1,445.19/2,165.90 = 580.11/x
  3. Step 3: Cross multiply
    1,445.19x = 2,165.90 × 580.11
  4. Step 4: Simplify right side
    1,445.19x = 1,256,457.35
  5. Step 5: Solve for x
    x = 1,256,457.35/1,445.19
  6. Step 6: Final answer
    x = 869.41

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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.