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Finding the Fourth Proportional to 705.12, 1,056.06 and 461.31

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Solution

The fourth proportional to 705.12, 1,056.06 and 461.31 is: 690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 1,056.06 = 461.31 : x
  2. Step 2: Convert to fraction form
    705.12/1,056.06 = 461.31/x
  3. Step 3: Cross multiply
    705.12x = 1,056.06 × 461.31
  4. Step 4: Simplify right side
    705.12x = 487,171.04
  5. Step 5: Solve for x
    x = 487,171.04/705.12
  6. Step 6: Final answer
    x = 690.91

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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.