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Finding the Fourth Proportional to 706.78, 975.06 and 427.02

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Solution

The fourth proportional to 706.78, 975.06 and 427.02 is: 589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.78 : 975.06 = 427.02 : x
  2. Step 2: Convert to fraction form
    706.78/975.06 = 427.02/x
  3. Step 3: Cross multiply
    706.78x = 975.06 × 427.02
  4. Step 4: Simplify right side
    706.78x = 416,370.12
  5. Step 5: Solve for x
    x = 416,370.12/706.78
  6. Step 6: Final answer
    x = 589.11

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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.