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Finding the Fourth Proportional to 860.33, 1,186.85 and 506.25

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Solution

The fourth proportional to 860.33, 1,186.85 and 506.25 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.33 : 1,186.85 = 506.25 : x
  2. Step 2: Convert to fraction form
    860.33/1,186.85 = 506.25/x
  3. Step 3: Cross multiply
    860.33x = 1,186.85 × 506.25
  4. Step 4: Simplify right side
    860.33x = 600,840.28
  5. Step 5: Solve for x
    x = 600,840.28/860.33
  6. Step 6: Final answer
    x = 698.39

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Double scale
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1.5x scale

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.