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Finding the Fourth Proportional to 706.36, 973.86 and 484.91

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Solution

The fourth proportional to 706.36, 973.86 and 484.91 is: 668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.36 : 973.86 = 484.91 : x
  2. Step 2: Convert to fraction form
    706.36/973.86 = 484.91/x
  3. Step 3: Cross multiply
    706.36x = 973.86 × 484.91
  4. Step 4: Simplify right side
    706.36x = 472,234.45
  5. Step 5: Solve for x
    x = 472,234.45/706.36
  6. Step 6: Final answer
    x = 668.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.