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Finding the Fourth Proportional to 809.94, 1,116.49 and 585.77

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Solution

The fourth proportional to 809.94, 1,116.49 and 585.77 is: 807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.94 : 1,116.49 = 585.77 : x
  2. Step 2: Convert to fraction form
    809.94/1,116.49 = 585.77/x
  3. Step 3: Cross multiply
    809.94x = 1,116.49 × 585.77
  4. Step 4: Simplify right side
    809.94x = 654,009.87
  5. Step 5: Solve for x
    x = 654,009.87/809.94
  6. Step 6: Final answer
    x = 807.48

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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.