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Finding the Fourth Proportional to 1,451.54, 2,178.39 and 682.58

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Solution

The fourth proportional to 1,451.54, 2,178.39 and 682.58 is: 1,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.54 : 2,178.39 = 682.58 : x
  2. Step 2: Convert to fraction form
    1,451.54/2,178.39 = 682.58/x
  3. Step 3: Cross multiply
    1,451.54x = 2,178.39 × 682.58
  4. Step 4: Simplify right side
    1,451.54x = 1,486,925.45
  5. Step 5: Solve for x
    x = 1,486,925.45/1,451.54
  6. Step 6: Final answer
    x = 1,024.38

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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.