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Finding the Fourth Proportional to 1,025.50, 1,414.94 and 652.34

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Solution

The fourth proportional to 1,025.50, 1,414.94 and 652.34 is: 900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.50 : 1,414.94 = 652.34 : x
  2. Step 2: Convert to fraction form
    1,025.50/1,414.94 = 652.34/x
  3. Step 3: Cross multiply
    1,025.50x = 1,414.94 × 652.34
  4. Step 4: Simplify right side
    1,025.50x = 923,021.96
  5. Step 5: Solve for x
    x = 923,021.96/1,025.50
  6. Step 6: Final answer
    x = 900.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.