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Finding the Fourth Proportional to 1,594.92, 2,390.72 and 729.03

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Solution

The fourth proportional to 1,594.92, 2,390.72 and 729.03 is: 1,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.92 : 2,390.72 = 729.03 : x
  2. Step 2: Convert to fraction form
    1,594.92/2,390.72 = 729.03/x
  3. Step 3: Cross multiply
    1,594.92x = 2,390.72 × 729.03
  4. Step 4: Simplify right side
    1,594.92x = 1,742,902.96
  5. Step 5: Solve for x
    x = 1,742,902.96/1,594.92
  6. Step 6: Final answer
    x = 1,092.78

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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.