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Finding the Fourth Proportional to 1,026.69, 1,416.86 and 584.58

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Solution

The fourth proportional to 1,026.69, 1,416.86 and 584.58 is: 806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.69 : 1,416.86 = 584.58 : x
  2. Step 2: Convert to fraction form
    1,026.69/1,416.86 = 584.58/x
  3. Step 3: Cross multiply
    1,026.69x = 1,416.86 × 584.58
  4. Step 4: Simplify right side
    1,026.69x = 828,268.02
  5. Step 5: Solve for x
    x = 828,268.02/1,026.69
  6. Step 6: Final answer
    x = 806.74

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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.