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Finding the Fourth Proportional to 1,328.58, 1,833.50 and 739.30

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Solution

The fourth proportional to 1,328.58, 1,833.50 and 739.30 is: 1,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.58 : 1,833.50 = 739.30 : x
  2. Step 2: Convert to fraction form
    1,328.58/1,833.50 = 739.30/x
  3. Step 3: Cross multiply
    1,328.58x = 1,833.50 × 739.30
  4. Step 4: Simplify right side
    1,328.58x = 1,355,506.55
  5. Step 5: Solve for x
    x = 1,355,506.55/1,328.58
  6. Step 6: Final answer
    x = 1,020.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.