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Finding the Fourth Proportional to 712.41, 1,068.14 and 492.42

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Solution

The fourth proportional to 712.41, 1,068.14 and 492.42 is: 738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.41 : 1,068.14 = 492.42 : x
  2. Step 2: Convert to fraction form
    712.41/1,068.14 = 492.42/x
  3. Step 3: Cross multiply
    712.41x = 1,068.14 × 492.42
  4. Step 4: Simplify right side
    712.41x = 525,968.16
  5. Step 5: Solve for x
    x = 525,968.16/712.41
  6. Step 6: Final answer
    x = 738.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.