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Finding the Fourth Proportional to 1,453.05, 2,005.20 and 815.00

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Solution

The fourth proportional to 1,453.05, 2,005.20 and 815.00 is: 1,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.05 : 2,005.20 = 815.00 : x
  2. Step 2: Convert to fraction form
    1,453.05/2,005.20 = 815.00/x
  3. Step 3: Cross multiply
    1,453.05x = 2,005.20 × 815.00
  4. Step 4: Simplify right side
    1,453.05x = 1,634,227.97
  5. Step 5: Solve for x
    x = 1,634,227.97/1,453.05
  6. Step 6: Final answer
    x = 1,124.69

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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.