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Finding the Fourth Proportional to 1,025, 1,414.24 and 709.74

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Solution

The fourth proportional to 1,025, 1,414.24 and 709.74 is: 979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025 : 1,414.24 = 709.74 : x
  2. Step 2: Convert to fraction form
    1,025/1,414.24 = 709.74/x
  3. Step 3: Cross multiply
    1,025x = 1,414.24 × 709.74
  4. Step 4: Simplify right side
    1,025x = 1,003,742.70
  5. Step 5: Solve for x
    x = 1,003,742.70/1,025
  6. Step 6: Final answer
    x = 979.26

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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.