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Finding the Fourth Proportional to 706.36, 974.10 and 627.40

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Solution

The fourth proportional to 706.36, 974.10 and 627.40 is: 865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.36 : 974.10 = 627.40 : x
  2. Step 2: Convert to fraction form
    706.36/974.10 = 627.40/x
  3. Step 3: Cross multiply
    706.36x = 974.10 × 627.40
  4. Step 4: Simplify right side
    706.36x = 611,150.34
  5. Step 5: Solve for x
    x = 611,150.34/706.36
  6. Step 6: Final answer
    x = 865.21

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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.