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Finding the Fourth Proportional to 706.20, 1,054.16 and 674.64

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Solution

The fourth proportional to 706.20, 1,054.16 and 674.64 is: 1,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.20 : 1,054.16 = 674.64 : x
  2. Step 2: Convert to fraction form
    706.20/1,054.16 = 674.64/x
  3. Step 3: Cross multiply
    706.20x = 1,054.16 × 674.64
  4. Step 4: Simplify right side
    706.20x = 711,178.50
  5. Step 5: Solve for x
    x = 711,178.50/706.20
  6. Step 6: Final answer
    x = 1,007.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.