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Finding the Fourth Proportional to 706.95, 975.45 and 628.59

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Solution

The fourth proportional to 706.95, 975.45 and 628.59 is: 867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.95 : 975.45 = 628.59 : x
  2. Step 2: Convert to fraction form
    706.95/975.45 = 628.59/x
  3. Step 3: Cross multiply
    706.95x = 975.45 × 628.59
  4. Step 4: Simplify right side
    706.95x = 613,158.12
  5. Step 5: Solve for x
    x = 613,158.12/706.95
  6. Step 6: Final answer
    x = 867.33

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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.