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Finding the Fourth Proportional to 706.66, 974.70 and 485.23

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Solution

The fourth proportional to 706.66, 974.70 and 485.23 is: 669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.66 : 974.70 = 485.23 : x
  2. Step 2: Convert to fraction form
    706.66/974.70 = 485.23/x
  3. Step 3: Cross multiply
    706.66x = 974.70 × 485.23
  4. Step 4: Simplify right side
    706.66x = 472,952.15
  5. Step 5: Solve for x
    x = 472,952.15/706.66
  6. Step 6: Final answer
    x = 669.28

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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.