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Finding the Fourth Proportional to 1,025.25, 1,538.06 and 538.17

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Solution

The fourth proportional to 1,025.25, 1,538.06 and 538.17 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.25 : 1,538.06 = 538.17 : x
  2. Step 2: Convert to fraction form
    1,025.25/1,538.06 = 538.17/x
  3. Step 3: Cross multiply
    1,025.25x = 1,538.06 × 538.17
  4. Step 4: Simplify right side
    1,025.25x = 827,735.06
  5. Step 5: Solve for x
    x = 827,735.06/1,025.25
  6. Step 6: Final answer
    x = 807.35

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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.