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Finding the Fourth Proportional to 1,259.26, 1,889.12 and 528.91

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Solution

The fourth proportional to 1,259.26, 1,889.12 and 528.91 is: 793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.26 : 1,889.12 = 528.91 : x
  2. Step 2: Convert to fraction form
    1,259.26/1,889.12 = 528.91/x
  3. Step 3: Cross multiply
    1,259.26x = 1,889.12 × 528.91
  4. Step 4: Simplify right side
    1,259.26x = 999,171.06
  5. Step 5: Solve for x
    x = 999,171.06/1,259.26
  6. Step 6: Final answer
    x = 793.46

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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.