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Finding the Fourth Proportional to 1,026.07, 1,415.99 and 584.08

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Solution

The fourth proportional to 1,026.07, 1,415.99 and 584.08 is: 806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.07 : 1,415.99 = 584.08 : x
  2. Step 2: Convert to fraction form
    1,026.07/1,415.99 = 584.08/x
  3. Step 3: Cross multiply
    1,026.07x = 1,415.99 × 584.08
  4. Step 4: Simplify right side
    1,026.07x = 827,051.44
  5. Step 5: Solve for x
    x = 827,051.44/1,026.07
  6. Step 6: Final answer
    x = 806.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.