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Finding the Fourth Proportional to 1,025.95, 1,540.46 and 587.70

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Solution

The fourth proportional to 1,025.95, 1,540.46 and 587.70 is: 882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.95 : 1,540.46 = 587.70 : x
  2. Step 2: Convert to fraction form
    1,025.95/1,540.46 = 587.70/x
  3. Step 3: Cross multiply
    1,025.95x = 1,540.46 × 587.70
  4. Step 4: Simplify right side
    1,025.95x = 905,324.03
  5. Step 5: Solve for x
    x = 905,324.03/1,025.95
  6. Step 6: Final answer
    x = 882.42

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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.