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Finding the Fourth Proportional to 706.04, 1,056.86 and 380.60

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Solution

The fourth proportional to 706.04, 1,056.86 and 380.60 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.04 : 1,056.86 = 380.60 : x
  2. Step 2: Convert to fraction form
    706.04/1,056.86 = 380.60/x
  3. Step 3: Cross multiply
    706.04x = 1,056.86 × 380.60
  4. Step 4: Simplify right side
    706.04x = 402,240.92
  5. Step 5: Solve for x
    x = 402,240.92/706.04
  6. Step 6: Final answer
    x = 569.71

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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.