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Finding the Fourth Proportional to 1,259.32, 1,889.61 and 528.88

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Solution

The fourth proportional to 1,259.32, 1,889.61 and 528.88 is: 793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.32 : 1,889.61 = 528.88 : x
  2. Step 2: Convert to fraction form
    1,259.32/1,889.61 = 528.88/x
  3. Step 3: Cross multiply
    1,259.32x = 1,889.61 × 528.88
  4. Step 4: Simplify right side
    1,259.32x = 999,376.94
  5. Step 5: Solve for x
    x = 999,376.94/1,259.32
  6. Step 6: Final answer
    x = 793.58

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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.