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Finding the Fourth Proportional to 860.72, 1,187.16 and 595.23

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Solution

The fourth proportional to 860.72, 1,187.16 and 595.23 is: 820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.72 : 1,187.16 = 595.23 : x
  2. Step 2: Convert to fraction form
    860.72/1,187.16 = 595.23/x
  3. Step 3: Cross multiply
    860.72x = 1,187.16 × 595.23
  4. Step 4: Simplify right side
    860.72x = 706,633.25
  5. Step 5: Solve for x
    x = 706,633.25/860.72
  6. Step 6: Final answer
    x = 820.98

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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.