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Finding the Fourth Proportional to 1,314.70, 1,971.69 and 492.91

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Solution

The fourth proportional to 1,314.70, 1,971.69 and 492.91 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.70 : 1,971.69 = 492.91 : x
  2. Step 2: Convert to fraction form
    1,314.70/1,971.69 = 492.91/x
  3. Step 3: Cross multiply
    1,314.70x = 1,971.69 × 492.91
  4. Step 4: Simplify right side
    1,314.70x = 971,865.72
  5. Step 5: Solve for x
    x = 971,865.72/1,314.70
  6. Step 6: Final answer
    x = 739.23

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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.