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Finding the Fourth Proportional to 1,453.82, 2,006.32 and 832.94

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Solution

The fourth proportional to 1,453.82, 2,006.32 and 832.94 is: 1,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.82 : 2,006.32 = 832.94 : x
  2. Step 2: Convert to fraction form
    1,453.82/2,006.32 = 832.94/x
  3. Step 3: Cross multiply
    1,453.82x = 2,006.32 × 832.94
  4. Step 4: Simplify right side
    1,453.82x = 1,671,132.07
  5. Step 5: Solve for x
    x = 1,671,132.07/1,453.82
  6. Step 6: Final answer
    x = 1,149.48

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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.