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Finding the Fourth Proportional to 1,071.27, 1,605.69 and 492.93

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Solution

The fourth proportional to 1,071.27, 1,605.69 and 492.93 is: 738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.27 : 1,605.69 = 492.93 : x
  2. Step 2: Convert to fraction form
    1,071.27/1,605.69 = 492.93/x
  3. Step 3: Cross multiply
    1,071.27x = 1,605.69 × 492.93
  4. Step 4: Simplify right side
    1,071.27x = 791,492.77
  5. Step 5: Solve for x
    x = 791,492.77/1,071.27
  6. Step 6: Final answer
    x = 738.84

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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.