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Finding the Fourth Proportional to 1,531.45, 2,113.38 and 832.82

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Solution

The fourth proportional to 1,531.45, 2,113.38 and 832.82 is: 1,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.45 : 2,113.38 = 832.82 : x
  2. Step 2: Convert to fraction form
    1,531.45/2,113.38 = 832.82/x
  3. Step 3: Cross multiply
    1,531.45x = 2,113.38 × 832.82
  4. Step 4: Simplify right side
    1,531.45x = 1,760,060.97
  5. Step 5: Solve for x
    x = 1,760,060.97/1,531.45
  6. Step 6: Final answer
    x = 1,149.28

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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.