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Finding the Fourth Proportional to 1,025.73, 1,538.58 and 477.60

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Solution

The fourth proportional to 1,025.73, 1,538.58 and 477.60 is: 716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.73 : 1,538.58 = 477.60 : x
  2. Step 2: Convert to fraction form
    1,025.73/1,538.58 = 477.60/x
  3. Step 3: Cross multiply
    1,025.73x = 1,538.58 × 477.60
  4. Step 4: Simplify right side
    1,025.73x = 734,825.81
  5. Step 5: Solve for x
    x = 734,825.81/1,025.73
  6. Step 6: Final answer
    x = 716.39

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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.