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Finding the Fourth Proportional to 948.29, 1,309.10 and 783.45

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Solution

The fourth proportional to 948.29, 1,309.10 and 783.45 is: 1,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.29 : 1,309.10 = 783.45 : x
  2. Step 2: Convert to fraction form
    948.29/1,309.10 = 783.45/x
  3. Step 3: Cross multiply
    948.29x = 1,309.10 × 783.45
  4. Step 4: Simplify right side
    948.29x = 1,025,610.48
  5. Step 5: Solve for x
    x = 1,025,610.48/948.29
  6. Step 6: Final answer
    x = 1,081.54

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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.