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Finding the Fourth Proportional to 706.63, 974.38 and 594.57

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Solution

The fourth proportional to 706.63, 974.38 and 594.57 is: 819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.63 : 974.38 = 594.57 : x
  2. Step 2: Convert to fraction form
    706.63/974.38 = 594.57/x
  3. Step 3: Cross multiply
    706.63x = 974.38 × 594.57
  4. Step 4: Simplify right side
    706.63x = 579,332.24
  5. Step 5: Solve for x
    x = 579,332.24/706.63
  6. Step 6: Final answer
    x = 819.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.