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Finding the Fourth Proportional to 1,114.21, 1,535.52 and 819.64

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Solution

The fourth proportional to 1,114.21, 1,535.52 and 819.64 is: 1,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.21 : 1,535.52 = 819.64 : x
  2. Step 2: Convert to fraction form
    1,114.21/1,535.52 = 819.64/x
  3. Step 3: Cross multiply
    1,114.21x = 1,535.52 × 819.64
  4. Step 4: Simplify right side
    1,114.21x = 1,258,573.61
  5. Step 5: Solve for x
    x = 1,258,573.61/1,114.21
  6. Step 6: Final answer
    x = 1,129.57

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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.