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Finding the Fourth Proportional to 705, 1,056.60 and 379.68

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Solution

The fourth proportional to 705, 1,056.60 and 379.68 is: 569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 1,056.60 = 379.68 : x
  2. Step 2: Convert to fraction form
    705/1,056.60 = 379.68/x
  3. Step 3: Cross multiply
    705x = 1,056.60 × 379.68
  4. Step 4: Simplify right side
    705x = 401,169.89
  5. Step 5: Solve for x
    x = 401,169.89/705
  6. Step 6: Final answer
    x = 569.04

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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.