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Finding the Fourth Proportional to 1,320.13, 1,980.18 and 346.22

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Solution

The fourth proportional to 1,320.13, 1,980.18 and 346.22 is: 519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.13 : 1,980.18 = 346.22 : x
  2. Step 2: Convert to fraction form
    1,320.13/1,980.18 = 346.22/x
  3. Step 3: Cross multiply
    1,320.13x = 1,980.18 × 346.22
  4. Step 4: Simplify right side
    1,320.13x = 685,575.44
  5. Step 5: Solve for x
    x = 685,575.44/1,320.13
  6. Step 6: Final answer
    x = 519.33

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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.