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Finding the Fourth Proportional to 1,245.63, 1,719.23 and 826.01

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Solution

The fourth proportional to 1,245.63, 1,719.23 and 826.01 is: 1,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.63 : 1,719.23 = 826.01 : x
  2. Step 2: Convert to fraction form
    1,245.63/1,719.23 = 826.01/x
  3. Step 3: Cross multiply
    1,245.63x = 1,719.23 × 826.01
  4. Step 4: Simplify right side
    1,245.63x = 1,420,101.17
  5. Step 5: Solve for x
    x = 1,420,101.17/1,245.63
  6. Step 6: Final answer
    x = 1,140.07

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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.