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Finding the Fourth Proportional to 706.79, 1,059.05 and 474.82

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Solution

The fourth proportional to 706.79, 1,059.05 and 474.82 is: 711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 1,059.05 = 474.82 : x
  2. Step 2: Convert to fraction form
    706.79/1,059.05 = 474.82/x
  3. Step 3: Cross multiply
    706.79x = 1,059.05 × 474.82
  4. Step 4: Simplify right side
    706.79x = 502,856.66
  5. Step 5: Solve for x
    x = 502,856.66/706.79
  6. Step 6: Final answer
    x = 711.46

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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.