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Finding the Fourth Proportional to 700.57, 967.05 and 601.93

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Solution

The fourth proportional to 700.57, 967.05 and 601.93 is: 830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.57 : 967.05 = 601.93 : x
  2. Step 2: Convert to fraction form
    700.57/967.05 = 601.93/x
  3. Step 3: Cross multiply
    700.57x = 967.05 × 601.93
  4. Step 4: Simplify right side
    700.57x = 582,096.41
  5. Step 5: Solve for x
    x = 582,096.41/700.57
  6. Step 6: Final answer
    x = 830.89

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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.