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Finding the Fourth Proportional to 705.12, 1,056.04 and 461.32

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Solution

The fourth proportional to 705.12, 1,056.04 and 461.32 is: 690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 1,056.04 = 461.32 : x
  2. Step 2: Convert to fraction form
    705.12/1,056.04 = 461.32/x
  3. Step 3: Cross multiply
    705.12x = 1,056.04 × 461.32
  4. Step 4: Simplify right side
    705.12x = 487,172.37
  5. Step 5: Solve for x
    x = 487,172.37/705.12
  6. Step 6: Final answer
    x = 690.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.