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Finding the Fourth Proportional to 860.42, 1,187.49 and 511.11

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Solution

The fourth proportional to 860.42, 1,187.49 and 511.11 is: 705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.42 : 1,187.49 = 511.11 : x
  2. Step 2: Convert to fraction form
    860.42/1,187.49 = 511.11/x
  3. Step 3: Cross multiply
    860.42x = 1,187.49 × 511.11
  4. Step 4: Simplify right side
    860.42x = 606,938.01
  5. Step 5: Solve for x
    x = 606,938.01/860.42
  6. Step 6: Final answer
    x = 705.40

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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.