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Finding the Fourth Proportional to 1,026.68, 1,538.39 and 538.25

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Solution

The fourth proportional to 1,026.68, 1,538.39 and 538.25 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.68 : 1,538.39 = 538.25 : x
  2. Step 2: Convert to fraction form
    1,026.68/1,538.39 = 538.25/x
  3. Step 3: Cross multiply
    1,026.68x = 1,538.39 × 538.25
  4. Step 4: Simplify right side
    1,026.68x = 828,032.07
  5. Step 5: Solve for x
    x = 828,032.07/1,026.68
  6. Step 6: Final answer
    x = 806.52

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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.