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Finding the Fourth Proportional to 860.83, 1,187.95 and 529.25

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Solution

The fourth proportional to 860.83, 1,187.95 and 529.25 is: 730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.83 : 1,187.95 = 529.25 : x
  2. Step 2: Convert to fraction form
    860.83/1,187.95 = 529.25/x
  3. Step 3: Cross multiply
    860.83x = 1,187.95 × 529.25
  4. Step 4: Simplify right side
    860.83x = 628,722.54
  5. Step 5: Solve for x
    x = 628,722.54/860.83
  6. Step 6: Final answer
    x = 730.37

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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.