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Finding the Fourth Proportional to 1,026.69, 1,538.75 and 441

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Solution

The fourth proportional to 1,026.69, 1,538.75 and 441 is: 660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.69 : 1,538.75 = 441 : x
  2. Step 2: Convert to fraction form
    1,026.69/1,538.75 = 441/x
  3. Step 3: Cross multiply
    1,026.69x = 1,538.75 × 441
  4. Step 4: Simplify right side
    1,026.69x = 678,587.37
  5. Step 5: Solve for x
    x = 678,587.37/1,026.69
  6. Step 6: Final answer
    x = 660.95

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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.