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Finding the Fourth Proportional to 806, 1,112.40 and 586

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Solution

The fourth proportional to 806, 1,112.40 and 586 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 1,112.40 = 586 : x
  2. Step 2: Convert to fraction form
    806/1,112.40 = 586/x
  3. Step 3: Cross multiply
    806x = 1,112.40 × 586
  4. Step 4: Simplify right side
    806x = 651,866.40
  5. Step 5: Solve for x
    x = 651,866.40/806
  6. Step 6: Final answer
    x = 808.77

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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.