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Finding the Fourth Proportional to 860.10, 1,186.83 and 712.14

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Solution

The fourth proportional to 860.10, 1,186.83 and 712.14 is: 982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.10 : 1,186.83 = 712.14 : x
  2. Step 2: Convert to fraction form
    860.10/1,186.83 = 712.14/x
  3. Step 3: Cross multiply
    860.10x = 1,186.83 × 712.14
  4. Step 4: Simplify right side
    860.10x = 845,189.12
  5. Step 5: Solve for x
    x = 845,189.12/860.10
  6. Step 6: Final answer
    x = 982.66

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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.