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Finding the Fourth Proportional to 1,026.24, 1,539.72 and 539

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Solution

The fourth proportional to 1,026.24, 1,539.72 and 539 is: 808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,539.72 = 539 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,539.72 = 539/x
  3. Step 3: Cross multiply
    1,026.24x = 1,539.72 × 539
  4. Step 4: Simplify right side
    1,026.24x = 829,909.08
  5. Step 5: Solve for x
    x = 829,909.08/1,026.24
  6. Step 6: Final answer
    x = 808.69

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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.