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Finding the Fourth Proportional to 706.74, 1,060.07 and 341.79

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Solution

The fourth proportional to 706.74, 1,060.07 and 341.79 is: 512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.74 : 1,060.07 = 341.79 : x
  2. Step 2: Convert to fraction form
    706.74/1,060.07 = 341.79/x
  3. Step 3: Cross multiply
    706.74x = 1,060.07 × 341.79
  4. Step 4: Simplify right side
    706.74x = 362,319.62
  5. Step 5: Solve for x
    x = 362,319.62/706.74
  6. Step 6: Final answer
    x = 512.66

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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.