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Finding the Fourth Proportional to 1,048.82, 1,447.31 and 606.69

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Solution

The fourth proportional to 1,048.82, 1,447.31 and 606.69 is: 837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.82 : 1,447.31 = 606.69 : x
  2. Step 2: Convert to fraction form
    1,048.82/1,447.31 = 606.69/x
  3. Step 3: Cross multiply
    1,048.82x = 1,447.31 × 606.69
  4. Step 4: Simplify right side
    1,048.82x = 878,068.50
  5. Step 5: Solve for x
    x = 878,068.50/1,048.82
  6. Step 6: Final answer
    x = 837.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.