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Finding the Fourth Proportional to 948.31, 1,420.17 and 766.06

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Solution

The fourth proportional to 948.31, 1,420.17 and 766.06 is: 1,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.31 : 1,420.17 = 766.06 : x
  2. Step 2: Convert to fraction form
    948.31/1,420.17 = 766.06/x
  3. Step 3: Cross multiply
    948.31x = 1,420.17 × 766.06
  4. Step 4: Simplify right side
    948.31x = 1,087,929.01
  5. Step 5: Solve for x
    x = 1,087,929.01/948.31
  6. Step 6: Final answer
    x = 1,147.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.