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Finding the Fourth Proportional to 860.67, 1,187.82 and 511.35

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Solution

The fourth proportional to 860.67, 1,187.82 and 511.35 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.67 : 1,187.82 = 511.35 : x
  2. Step 2: Convert to fraction form
    860.67/1,187.82 = 511.35/x
  3. Step 3: Cross multiply
    860.67x = 1,187.82 × 511.35
  4. Step 4: Simplify right side
    860.67x = 607,391.76
  5. Step 5: Solve for x
    x = 607,391.76/860.67
  6. Step 6: Final answer
    x = 705.72

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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.