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Finding the Fourth Proportional to 701.42, 967.14 and 583.53

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Solution

The fourth proportional to 701.42, 967.14 and 583.53 is: 804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.42 : 967.14 = 583.53 : x
  2. Step 2: Convert to fraction form
    701.42/967.14 = 583.53/x
  3. Step 3: Cross multiply
    701.42x = 967.14 × 583.53
  4. Step 4: Simplify right side
    701.42x = 564,355.20
  5. Step 5: Solve for x
    x = 564,355.20/701.42
  6. Step 6: Final answer
    x = 804.60

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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.