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Finding the Fourth Proportional to 706.43, 973.75 and 556.82

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Solution

The fourth proportional to 706.43, 973.75 and 556.82 is: 767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.43 : 973.75 = 556.82 : x
  2. Step 2: Convert to fraction form
    706.43/973.75 = 556.82/x
  3. Step 3: Cross multiply
    706.43x = 973.75 × 556.82
  4. Step 4: Simplify right side
    706.43x = 542,195.82
  5. Step 5: Solve for x
    x = 542,195.82/706.43
  6. Step 6: Final answer
    x = 767.52

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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.