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Finding the Fourth Proportional to 1,025.54, 1,538.40 and 332.22

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Solution

The fourth proportional to 1,025.54, 1,538.40 and 332.22 is: 498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.54 : 1,538.40 = 332.22 : x
  2. Step 2: Convert to fraction form
    1,025.54/1,538.40 = 332.22/x
  3. Step 3: Cross multiply
    1,025.54x = 1,538.40 × 332.22
  4. Step 4: Simplify right side
    1,025.54x = 511,087.25
  5. Step 5: Solve for x
    x = 511,087.25/1,025.54
  6. Step 6: Final answer
    x = 498.36

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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.