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Finding the Fourth Proportional to 1,365.50, 1,884.40 and 744.50

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Solution

The fourth proportional to 1,365.50, 1,884.40 and 744.50 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.50 : 1,884.40 = 744.50 : x
  2. Step 2: Convert to fraction form
    1,365.50/1,884.40 = 744.50/x
  3. Step 3: Cross multiply
    1,365.50x = 1,884.40 × 744.50
  4. Step 4: Simplify right side
    1,365.50x = 1,402,935.80
  5. Step 5: Solve for x
    x = 1,402,935.80/1,365.50
  6. Step 6: Final answer
    x = 1,027.42

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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.