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Finding the Fourth Proportional to 690.68, 1,029.62 and 638.84

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Solution

The fourth proportional to 690.68, 1,029.62 and 638.84 is: 952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.68 : 1,029.62 = 638.84 : x
  2. Step 2: Convert to fraction form
    690.68/1,029.62 = 638.84/x
  3. Step 3: Cross multiply
    690.68x = 1,029.62 × 638.84
  4. Step 4: Simplify right side
    690.68x = 657,762.44
  5. Step 5: Solve for x
    x = 657,762.44/690.68
  6. Step 6: Final answer
    x = 952.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.