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Finding the Fourth Proportional to 700.94, 964.87 and 675.43

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Solution

The fourth proportional to 700.94, 964.87 and 675.43 is: 929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.94 : 964.87 = 675.43 : x
  2. Step 2: Convert to fraction form
    700.94/964.87 = 675.43/x
  3. Step 3: Cross multiply
    700.94x = 964.87 × 675.43
  4. Step 4: Simplify right side
    700.94x = 651,702.14
  5. Step 5: Solve for x
    x = 651,702.14/700.94
  6. Step 6: Final answer
    x = 929.75

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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.