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Finding the Fourth Proportional to 706.40, 972.84 and 550.88

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Solution

The fourth proportional to 706.40, 972.84 and 550.88 is: 758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.40 : 972.84 = 550.88 : x
  2. Step 2: Convert to fraction form
    706.40/972.84 = 550.88/x
  3. Step 3: Cross multiply
    706.40x = 972.84 × 550.88
  4. Step 4: Simplify right side
    706.40x = 535,918.10
  5. Step 5: Solve for x
    x = 535,918.10/706.40
  6. Step 6: Final answer
    x = 758.66

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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.