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Finding the Fourth Proportional to 1,324.04, 1,983.01 and 1,030.01

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Solution

The fourth proportional to 1,324.04, 1,983.01 and 1,030.01 is: 1,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.04 : 1,983.01 = 1,030.01 : x
  2. Step 2: Convert to fraction form
    1,324.04/1,983.01 = 1,030.01/x
  3. Step 3: Cross multiply
    1,324.04x = 1,983.01 × 1,030.01
  4. Step 4: Simplify right side
    1,324.04x = 2,042,520.13
  5. Step 5: Solve for x
    x = 2,042,520.13/1,324.04
  6. Step 6: Final answer
    x = 1,542.64

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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.