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Finding the Fourth Proportional to 1,531.47, 2,113.41 and 832.85

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Solution

The fourth proportional to 1,531.47, 2,113.41 and 832.85 is: 1,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.47 : 2,113.41 = 832.85 : x
  2. Step 2: Convert to fraction form
    1,531.47/2,113.41 = 832.85/x
  3. Step 3: Cross multiply
    1,531.47x = 2,113.41 × 832.85
  4. Step 4: Simplify right side
    1,531.47x = 1,760,153.52
  5. Step 5: Solve for x
    x = 1,760,153.52/1,531.47
  6. Step 6: Final answer
    x = 1,149.32

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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.