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Finding the Fourth Proportional to 700.17, 964.83 and 500.43

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Solution

The fourth proportional to 700.17, 964.83 and 500.43 is: 689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.17 : 964.83 = 500.43 : x
  2. Step 2: Convert to fraction form
    700.17/964.83 = 500.43/x
  3. Step 3: Cross multiply
    700.17x = 964.83 × 500.43
  4. Step 4: Simplify right side
    700.17x = 482,829.88
  5. Step 5: Solve for x
    x = 482,829.88/700.17
  6. Step 6: Final answer
    x = 689.59

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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.