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Finding the Fourth Proportional to 1,420.56, 1,959.88 and 896.08

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Solution

The fourth proportional to 1,420.56, 1,959.88 and 896.08 is: 1,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 1,959.88 = 896.08 : x
  2. Step 2: Convert to fraction form
    1,420.56/1,959.88 = 896.08/x
  3. Step 3: Cross multiply
    1,420.56x = 1,959.88 × 896.08
  4. Step 4: Simplify right side
    1,420.56x = 1,756,209.27
  5. Step 5: Solve for x
    x = 1,756,209.27/1,420.56
  6. Step 6: Final answer
    x = 1,236.28

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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.