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Finding the Fourth Proportional to 706, 974.84 and 559.40

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Solution

The fourth proportional to 706, 974.84 and 559.40 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 974.84 = 559.40 : x
  2. Step 2: Convert to fraction form
    706/974.84 = 559.40/x
  3. Step 3: Cross multiply
    706x = 974.84 × 559.40
  4. Step 4: Simplify right side
    706x = 545,325.50
  5. Step 5: Solve for x
    x = 545,325.50/706
  6. Step 6: Final answer
    x = 772.42

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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.