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Finding the Fourth Proportional to 860.98, 1,187.76 and 506.90

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Solution

The fourth proportional to 860.98, 1,187.76 and 506.90 is: 699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.98 : 1,187.76 = 506.90 : x
  2. Step 2: Convert to fraction form
    860.98/1,187.76 = 506.90/x
  3. Step 3: Cross multiply
    860.98x = 1,187.76 × 506.90
  4. Step 4: Simplify right side
    860.98x = 602,075.54
  5. Step 5: Solve for x
    x = 602,075.54/860.98
  6. Step 6: Final answer
    x = 699.29

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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.