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Finding the Fourth Proportional to 1,432.96, 1,977.07 and 873.44

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Solution

The fourth proportional to 1,432.96, 1,977.07 and 873.44 is: 1,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.96 : 1,977.07 = 873.44 : x
  2. Step 2: Convert to fraction form
    1,432.96/1,977.07 = 873.44/x
  3. Step 3: Cross multiply
    1,432.96x = 1,977.07 × 873.44
  4. Step 4: Simplify right side
    1,432.96x = 1,726,852.02
  5. Step 5: Solve for x
    x = 1,726,852.02/1,432.96
  6. Step 6: Final answer
    x = 1,205.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.