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Finding the Fourth Proportional to 1,026.60, 1,416.78 and 584.52

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Solution

The fourth proportional to 1,026.60, 1,416.78 and 584.52 is: 806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.60 : 1,416.78 = 584.52 : x
  2. Step 2: Convert to fraction form
    1,026.60/1,416.78 = 584.52/x
  3. Step 3: Cross multiply
    1,026.60x = 1,416.78 × 584.52
  4. Step 4: Simplify right side
    1,026.60x = 828,136.25
  5. Step 5: Solve for x
    x = 828,136.25/1,026.60
  6. Step 6: Final answer
    x = 806.68

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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.