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Finding the Fourth Proportional to 1,021.52, 1,407.24 and 843.32

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Solution

The fourth proportional to 1,021.52, 1,407.24 and 843.32 is: 1,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.52 : 1,407.24 = 843.32 : x
  2. Step 2: Convert to fraction form
    1,021.52/1,407.24 = 843.32/x
  3. Step 3: Cross multiply
    1,021.52x = 1,407.24 × 843.32
  4. Step 4: Simplify right side
    1,021.52x = 1,186,753.64
  5. Step 5: Solve for x
    x = 1,186,753.64/1,021.52
  6. Step 6: Final answer
    x = 1,161.75

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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.