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Finding the Fourth Proportional to 1,047.07, 1,445.97 and 896.83

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Solution

The fourth proportional to 1,047.07, 1,445.97 and 896.83 is: 1,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.07 : 1,445.97 = 896.83 : x
  2. Step 2: Convert to fraction form
    1,047.07/1,445.97 = 896.83/x
  3. Step 3: Cross multiply
    1,047.07x = 1,445.97 × 896.83
  4. Step 4: Simplify right side
    1,047.07x = 1,296,789.28
  5. Step 5: Solve for x
    x = 1,296,789.28/1,047.07
  6. Step 6: Final answer
    x = 1,238.49

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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.