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Finding the Fourth Proportional to 1,043.04, 1,564.46 and 273.54

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Solution

The fourth proportional to 1,043.04, 1,564.46 and 273.54 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.04 : 1,564.46 = 273.54 : x
  2. Step 2: Convert to fraction form
    1,043.04/1,564.46 = 273.54/x
  3. Step 3: Cross multiply
    1,043.04x = 1,564.46 × 273.54
  4. Step 4: Simplify right side
    1,043.04x = 427,941.02
  5. Step 5: Solve for x
    x = 427,941.02/1,043.04
  6. Step 6: Final answer
    x = 410.28

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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.