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Finding the Fourth Proportional to 1,314.70, 1,972.74 and 493.54

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Solution

The fourth proportional to 1,314.70, 1,972.74 and 493.54 is: 740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.70 : 1,972.74 = 493.54 : x
  2. Step 2: Convert to fraction form
    1,314.70/1,972.74 = 493.54/x
  3. Step 3: Cross multiply
    1,314.70x = 1,972.74 × 493.54
  4. Step 4: Simplify right side
    1,314.70x = 973,626.10
  5. Step 5: Solve for x
    x = 973,626.10/1,314.70
  6. Step 6: Final answer
    x = 740.57

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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.