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Finding the Fourth Proportional to 1,027.60, 1,533.24 and 865.60

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Solution

The fourth proportional to 1,027.60, 1,533.24 and 865.60 is: 1,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.60 : 1,533.24 = 865.60 : x
  2. Step 2: Convert to fraction form
    1,027.60/1,533.24 = 865.60/x
  3. Step 3: Cross multiply
    1,027.60x = 1,533.24 × 865.60
  4. Step 4: Simplify right side
    1,027.60x = 1,327,172.54
  5. Step 5: Solve for x
    x = 1,327,172.54/1,027.60
  6. Step 6: Final answer
    x = 1,291.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.