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Finding the Fourth Proportional to 1,314.47, 1,971.10 and 389.70

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Solution

The fourth proportional to 1,314.47, 1,971.10 and 389.70 is: 584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.47 : 1,971.10 = 389.70 : x
  2. Step 2: Convert to fraction form
    1,314.47/1,971.10 = 389.70/x
  3. Step 3: Cross multiply
    1,314.47x = 1,971.10 × 389.70
  4. Step 4: Simplify right side
    1,314.47x = 768,137.67
  5. Step 5: Solve for x
    x = 768,137.67/1,314.47
  6. Step 6: Final answer
    x = 584.37

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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.