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Finding the Fourth Proportional to 700.25, 966.89 and 553.64

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Solution

The fourth proportional to 700.25, 966.89 and 553.64 is: 764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.25 : 966.89 = 553.64 : x
  2. Step 2: Convert to fraction form
    700.25/966.89 = 553.64/x
  3. Step 3: Cross multiply
    700.25x = 966.89 × 553.64
  4. Step 4: Simplify right side
    700.25x = 535,306.21
  5. Step 5: Solve for x
    x = 535,306.21/700.25
  6. Step 6: Final answer
    x = 764.45

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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.