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Finding the Fourth Proportional to 1,299.13, 1,948.48 and 421.61

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Solution

The fourth proportional to 1,299.13, 1,948.48 and 421.61 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.13 : 1,948.48 = 421.61 : x
  2. Step 2: Convert to fraction form
    1,299.13/1,948.48 = 421.61/x
  3. Step 3: Cross multiply
    1,299.13x = 1,948.48 × 421.61
  4. Step 4: Simplify right side
    1,299.13x = 821,487.86
  5. Step 5: Solve for x
    x = 821,487.86/1,299.13
  6. Step 6: Final answer
    x = 632.34

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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.