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Finding the Fourth Proportional to 1,365.29, 2,047.98 and 391.40

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Solution

The fourth proportional to 1,365.29, 2,047.98 and 391.40 is: 587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.29 : 2,047.98 = 391.40 : x
  2. Step 2: Convert to fraction form
    1,365.29/2,047.98 = 391.40/x
  3. Step 3: Cross multiply
    1,365.29x = 2,047.98 × 391.40
  4. Step 4: Simplify right side
    1,365.29x = 801,579.37
  5. Step 5: Solve for x
    x = 801,579.37/1,365.29
  6. Step 6: Final answer
    x = 587.11

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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.