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Finding the Fourth Proportional to 1,029.12, 1,542.04 and 643.56

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Solution

The fourth proportional to 1,029.12, 1,542.04 and 643.56 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.12 : 1,542.04 = 643.56 : x
  2. Step 2: Convert to fraction form
    1,029.12/1,542.04 = 643.56/x
  3. Step 3: Cross multiply
    1,029.12x = 1,542.04 × 643.56
  4. Step 4: Simplify right side
    1,029.12x = 992,395.26
  5. Step 5: Solve for x
    x = 992,395.26/1,029.12
  6. Step 6: Final answer
    x = 964.31

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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.