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Finding the Fourth Proportional to 948.95, 1,420.94 and 762.86

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Solution

The fourth proportional to 948.95, 1,420.94 and 762.86 is: 1,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.95 : 1,420.94 = 762.86 : x
  2. Step 2: Convert to fraction form
    948.95/1,420.94 = 762.86/x
  3. Step 3: Cross multiply
    948.95x = 1,420.94 × 762.86
  4. Step 4: Simplify right side
    948.95x = 1,083,979.93
  5. Step 5: Solve for x
    x = 1,083,979.93/948.95
  6. Step 6: Final answer
    x = 1,142.29

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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.