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Finding the Fourth Proportional to 706.79, 1,060.00 and 316.58

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Solution

The fourth proportional to 706.79, 1,060.00 and 316.58 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 1,060.00 = 316.58 : x
  2. Step 2: Convert to fraction form
    706.79/1,060.00 = 316.58/x
  3. Step 3: Cross multiply
    706.79x = 1,060.00 × 316.58
  4. Step 4: Simplify right side
    706.79x = 335,568.71
  5. Step 5: Solve for x
    x = 335,568.71/706.79
  6. Step 6: Final answer
    x = 474.78

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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.