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Finding the Fourth Proportional to 693.55, 955.15 and 678.43

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Solution

The fourth proportional to 693.55, 955.15 and 678.43 is: 934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.55 : 955.15 = 678.43 : x
  2. Step 2: Convert to fraction form
    693.55/955.15 = 678.43/x
  3. Step 3: Cross multiply
    693.55x = 955.15 × 678.43
  4. Step 4: Simplify right side
    693.55x = 648,002.41
  5. Step 5: Solve for x
    x = 648,002.41/693.55
  6. Step 6: Final answer
    x = 934.33

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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.