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Finding the Fourth Proportional to 1,115.64, 1,672.02 and 538.20

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Solution

The fourth proportional to 1,115.64, 1,672.02 and 538.20 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.64 : 1,672.02 = 538.20 : x
  2. Step 2: Convert to fraction form
    1,115.64/1,672.02 = 538.20/x
  3. Step 3: Cross multiply
    1,115.64x = 1,672.02 × 538.20
  4. Step 4: Simplify right side
    1,115.64x = 899,881.16
  5. Step 5: Solve for x
    x = 899,881.16/1,115.64
  6. Step 6: Final answer
    x = 806.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.