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Finding the Fourth Proportional to 1,531.26, 2,113.14 and 832.64

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Solution

The fourth proportional to 1,531.26, 2,113.14 and 832.64 is: 1,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.26 : 2,113.14 = 832.64 : x
  2. Step 2: Convert to fraction form
    1,531.26/2,113.14 = 832.64/x
  3. Step 3: Cross multiply
    1,531.26x = 2,113.14 × 832.64
  4. Step 4: Simplify right side
    1,531.26x = 1,759,484.89
  5. Step 5: Solve for x
    x = 1,759,484.89/1,531.26
  6. Step 6: Final answer
    x = 1,149.04

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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.