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Finding the Fourth Proportional to 1,376.60, 2,064.49 and 451.93

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Solution

The fourth proportional to 1,376.60, 2,064.49 and 451.93 is: 677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.60 : 2,064.49 = 451.93 : x
  2. Step 2: Convert to fraction form
    1,376.60/2,064.49 = 451.93/x
  3. Step 3: Cross multiply
    1,376.60x = 2,064.49 × 451.93
  4. Step 4: Simplify right side
    1,376.60x = 933,002.55
  5. Step 5: Solve for x
    x = 933,002.55/1,376.60
  6. Step 6: Final answer
    x = 677.76

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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.