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Finding the Fourth Proportional to 1,420.70, 1,961.32 and 861.52

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Solution

The fourth proportional to 1,420.70, 1,961.32 and 861.52 is: 1,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.70 : 1,961.32 = 861.52 : x
  2. Step 2: Convert to fraction form
    1,420.70/1,961.32 = 861.52/x
  3. Step 3: Cross multiply
    1,420.70x = 1,961.32 × 861.52
  4. Step 4: Simplify right side
    1,420.70x = 1,689,716.41
  5. Step 5: Solve for x
    x = 1,689,716.41/1,420.70
  6. Step 6: Final answer
    x = 1,189.35

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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.