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Finding the Fourth Proportional to 860.24, 1,185.72 and 597.80

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Solution

The fourth proportional to 860.24, 1,185.72 and 597.80 is: 823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.24 : 1,185.72 = 597.80 : x
  2. Step 2: Convert to fraction form
    860.24/1,185.72 = 597.80/x
  3. Step 3: Cross multiply
    860.24x = 1,185.72 × 597.80
  4. Step 4: Simplify right side
    860.24x = 708,823.42
  5. Step 5: Solve for x
    x = 708,823.42/860.24
  6. Step 6: Final answer
    x = 823.98

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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.