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Finding the Fourth Proportional to 705.42, 1,056.39 and 461.70

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Solution

The fourth proportional to 705.42, 1,056.39 and 461.70 is: 691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.42 : 1,056.39 = 461.70 : x
  2. Step 2: Convert to fraction form
    705.42/1,056.39 = 461.70/x
  3. Step 3: Cross multiply
    705.42x = 1,056.39 × 461.70
  4. Step 4: Simplify right side
    705.42x = 487,735.26
  5. Step 5: Solve for x
    x = 487,735.26/705.42
  6. Step 6: Final answer
    x = 691.41

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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.