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Finding the Fourth Proportional to 705.16, 1,057.74 and 411.94

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Solution

The fourth proportional to 705.16, 1,057.74 and 411.94 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 1,057.74 = 411.94 : x
  2. Step 2: Convert to fraction form
    705.16/1,057.74 = 411.94/x
  3. Step 3: Cross multiply
    705.16x = 1,057.74 × 411.94
  4. Step 4: Simplify right side
    705.16x = 435,725.42
  5. Step 5: Solve for x
    x = 435,725.42/705.16
  6. Step 6: Final answer
    x = 617.91

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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.