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Finding the Fourth Proportional to 693.58, 955.86 and 496.75

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Solution

The fourth proportional to 693.58, 955.86 and 496.75 is: 684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.58 : 955.86 = 496.75 : x
  2. Step 2: Convert to fraction form
    693.58/955.86 = 496.75/x
  3. Step 3: Cross multiply
    693.58x = 955.86 × 496.75
  4. Step 4: Simplify right side
    693.58x = 474,823.46
  5. Step 5: Solve for x
    x = 474,823.46/693.58
  6. Step 6: Final answer
    x = 684.60

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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.