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Finding the Fourth Proportional to 1,432.73, 1,977.54 and 873.57

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Solution

The fourth proportional to 1,432.73, 1,977.54 and 873.57 is: 1,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.73 : 1,977.54 = 873.57 : x
  2. Step 2: Convert to fraction form
    1,432.73/1,977.54 = 873.57/x
  3. Step 3: Cross multiply
    1,432.73x = 1,977.54 × 873.57
  4. Step 4: Simplify right side
    1,432.73x = 1,727,519.62
  5. Step 5: Solve for x
    x = 1,727,519.62/1,432.73
  6. Step 6: Final answer
    x = 1,205.76

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1.5x scale

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.