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Finding the Fourth Proportional to 1,029.04, 1,543.64 and 259.56

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Solution

The fourth proportional to 1,029.04, 1,543.64 and 259.56 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.04 : 1,543.64 = 259.56 : x
  2. Step 2: Convert to fraction form
    1,029.04/1,543.64 = 259.56/x
  3. Step 3: Cross multiply
    1,029.04x = 1,543.64 × 259.56
  4. Step 4: Simplify right side
    1,029.04x = 400,667.20
  5. Step 5: Solve for x
    x = 400,667.20/1,029.04
  6. Step 6: Final answer
    x = 389.36

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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.