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Finding the Fourth Proportional to 1,071.29, 1,605.69 and 492.95

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Solution

The fourth proportional to 1,071.29, 1,605.69 and 492.95 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.29 : 1,605.69 = 492.95 : x
  2. Step 2: Convert to fraction form
    1,071.29/1,605.69 = 492.95/x
  3. Step 3: Cross multiply
    1,071.29x = 1,605.69 × 492.95
  4. Step 4: Simplify right side
    1,071.29x = 791,516.86
  5. Step 5: Solve for x
    x = 791,516.86/1,071.29
  6. Step 6: Final answer
    x = 738.85

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Why These Related Problems?

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