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Finding the Fourth Proportional to 1,299.16, 1,948.66 and 421.71

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Solution

The fourth proportional to 1,299.16, 1,948.66 and 421.71 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.16 : 1,948.66 = 421.71 : x
  2. Step 2: Convert to fraction form
    1,299.16/1,948.66 = 421.71/x
  3. Step 3: Cross multiply
    1,299.16x = 1,948.66 × 421.71
  4. Step 4: Simplify right side
    1,299.16x = 821,769.41
  5. Step 5: Solve for x
    x = 821,769.41/1,299.16
  6. Step 6: Final answer
    x = 632.54

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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.