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Finding the Fourth Proportional to 1,159.87, 1,735.93 and 884.37

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Solution

The fourth proportional to 1,159.87, 1,735.93 and 884.37 is: 1,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.87 : 1,735.93 = 884.37 : x
  2. Step 2: Convert to fraction form
    1,159.87/1,735.93 = 884.37/x
  3. Step 3: Cross multiply
    1,159.87x = 1,735.93 × 884.37
  4. Step 4: Simplify right side
    1,159.87x = 1,535,202.26
  5. Step 5: Solve for x
    x = 1,535,202.26/1,159.87
  6. Step 6: Final answer
    x = 1,323.60

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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.