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Finding the Fourth Proportional to 1,490.63, 2,057.34 and 861.56

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Solution

The fourth proportional to 1,490.63, 2,057.34 and 861.56 is: 1,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.63 : 2,057.34 = 861.56 : x
  2. Step 2: Convert to fraction form
    1,490.63/2,057.34 = 861.56/x
  3. Step 3: Cross multiply
    1,490.63x = 2,057.34 × 861.56
  4. Step 4: Simplify right side
    1,490.63x = 1,772,511.56
  5. Step 5: Solve for x
    x = 1,772,511.56/1,490.63
  6. Step 6: Final answer
    x = 1,189.11

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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.