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Finding the Fourth Proportional to 1,374.49, 2,062.08 and 450.10

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Solution

The fourth proportional to 1,374.49, 2,062.08 and 450.10 is: 675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.49 : 2,062.08 = 450.10 : x
  2. Step 2: Convert to fraction form
    1,374.49/2,062.08 = 450.10/x
  3. Step 3: Cross multiply
    1,374.49x = 2,062.08 × 450.10
  4. Step 4: Simplify right side
    1,374.49x = 928,142.21
  5. Step 5: Solve for x
    x = 928,142.21/1,374.49
  6. Step 6: Final answer
    x = 675.26

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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.