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Finding the Fourth Proportional to 860.34, 1,187.37 and 511.14

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Solution

The fourth proportional to 860.34, 1,187.37 and 511.14 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.34 : 1,187.37 = 511.14 : x
  2. Step 2: Convert to fraction form
    860.34/1,187.37 = 511.14/x
  3. Step 3: Cross multiply
    860.34x = 1,187.37 × 511.14
  4. Step 4: Simplify right side
    860.34x = 606,912.30
  5. Step 5: Solve for x
    x = 606,912.30/860.34
  6. Step 6: Final answer
    x = 705.43

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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.