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Finding the Fourth Proportional to 1,328.60, 1,991.20 and 743.60

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Solution

The fourth proportional to 1,328.60, 1,991.20 and 743.60 is: 1,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.60 : 1,991.20 = 743.60 : x
  2. Step 2: Convert to fraction form
    1,328.60/1,991.20 = 743.60/x
  3. Step 3: Cross multiply
    1,328.60x = 1,991.20 × 743.60
  4. Step 4: Simplify right side
    1,328.60x = 1,480,656.32
  5. Step 5: Solve for x
    x = 1,480,656.32/1,328.60
  6. Step 6: Final answer
    x = 1,114.45

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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.