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Finding the Fourth Proportional to 860.35, 1,187.17 and 712.39

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Solution

The fourth proportional to 860.35, 1,187.17 and 712.39 is: 983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.35 : 1,187.17 = 712.39 : x
  2. Step 2: Convert to fraction form
    860.35/1,187.17 = 712.39/x
  3. Step 3: Cross multiply
    860.35x = 1,187.17 × 712.39
  4. Step 4: Simplify right side
    860.35x = 845,728.04
  5. Step 5: Solve for x
    x = 845,728.04/860.35
  6. Step 6: Final answer
    x = 983.00

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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.