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Finding the Fourth Proportional to 706.96, 973.48 and 559.12

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Solution

The fourth proportional to 706.96, 973.48 and 559.12 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.96 : 973.48 = 559.12 : x
  2. Step 2: Convert to fraction form
    706.96/973.48 = 559.12/x
  3. Step 3: Cross multiply
    706.96x = 973.48 × 559.12
  4. Step 4: Simplify right side
    706.96x = 544,292.14
  5. Step 5: Solve for x
    x = 544,292.14/706.96
  6. Step 6: Final answer
    x = 769.91

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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.