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Finding the Fourth Proportional to 1,420.18, 1,959.96 and 822.83

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Solution

The fourth proportional to 1,420.18, 1,959.96 and 822.83 is: 1,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.18 : 1,959.96 = 822.83 : x
  2. Step 2: Convert to fraction form
    1,420.18/1,959.96 = 822.83/x
  3. Step 3: Cross multiply
    1,420.18x = 1,959.96 × 822.83
  4. Step 4: Simplify right side
    1,420.18x = 1,612,711.43
  5. Step 5: Solve for x
    x = 1,612,711.43/1,420.18
  6. Step 6: Final answer
    x = 1,135.57

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1.5x scale

Why These Related Problems?

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