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Finding the Fourth Proportional to 1,029.02, 1,543.56 and 259.52

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Solution

The fourth proportional to 1,029.02, 1,543.56 and 259.52 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.02 : 1,543.56 = 259.52 : x
  2. Step 2: Convert to fraction form
    1,029.02/1,543.56 = 259.52/x
  3. Step 3: Cross multiply
    1,029.02x = 1,543.56 × 259.52
  4. Step 4: Simplify right side
    1,029.02x = 400,584.69
  5. Step 5: Solve for x
    x = 400,584.69/1,029.02
  6. Step 6: Final answer
    x = 389.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.