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Finding the Fourth Proportional to 693.93, 955.67 and 678.81

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Solution

The fourth proportional to 693.93, 955.67 and 678.81 is: 934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.93 : 955.67 = 678.81 : x
  2. Step 2: Convert to fraction form
    693.93/955.67 = 678.81/x
  3. Step 3: Cross multiply
    693.93x = 955.67 × 678.81
  4. Step 4: Simplify right side
    693.93x = 648,718.35
  5. Step 5: Solve for x
    x = 648,718.35/693.93
  6. Step 6: Final answer
    x = 934.85

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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.