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Finding the Fourth Proportional to 1,259.20, 1,889.34 and 479.43

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Solution

The fourth proportional to 1,259.20, 1,889.34 and 479.43 is: 719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.20 : 1,889.34 = 479.43 : x
  2. Step 2: Convert to fraction form
    1,259.20/1,889.34 = 479.43/x
  3. Step 3: Cross multiply
    1,259.20x = 1,889.34 × 479.43
  4. Step 4: Simplify right side
    1,259.20x = 905,807.81
  5. Step 5: Solve for x
    x = 905,807.81/1,259.20
  6. Step 6: Final answer
    x = 719.35

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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.