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Finding the Fourth Proportional to 1,313.80, 1,971.07 and 389.35

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Solution

The fourth proportional to 1,313.80, 1,971.07 and 389.35 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.80 : 1,971.07 = 389.35 : x
  2. Step 2: Convert to fraction form
    1,313.80/1,971.07 = 389.35/x
  3. Step 3: Cross multiply
    1,313.80x = 1,971.07 × 389.35
  4. Step 4: Simplify right side
    1,313.80x = 767,437.59
  5. Step 5: Solve for x
    x = 767,437.59/1,313.80
  6. Step 6: Final answer
    x = 584.14

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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.