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Finding the Fourth Proportional to 860.63, 1,187.66 and 511.31

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Solution

The fourth proportional to 860.63, 1,187.66 and 511.31 is: 705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.63 : 1,187.66 = 511.31 : x
  2. Step 2: Convert to fraction form
    860.63/1,187.66 = 511.31/x
  3. Step 3: Cross multiply
    860.63x = 1,187.66 × 511.31
  4. Step 4: Simplify right side
    860.63x = 607,266.68
  5. Step 5: Solve for x
    x = 607,266.68/860.63
  6. Step 6: Final answer
    x = 705.61

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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.