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Finding the Fourth Proportional to 693.80, 955.50 and 678.68

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Solution

The fourth proportional to 693.80, 955.50 and 678.68 is: 934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.80 : 955.50 = 678.68 : x
  2. Step 2: Convert to fraction form
    693.80/955.50 = 678.68/x
  3. Step 3: Cross multiply
    693.80x = 955.50 × 678.68
  4. Step 4: Simplify right side
    693.80x = 648,475.35
  5. Step 5: Solve for x
    x = 648,475.35/693.80
  6. Step 6: Final answer
    x = 934.67

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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.