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Finding the Fourth Proportional to 860.06, 1,186.17 and 597.89

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Solution

The fourth proportional to 860.06, 1,186.17 and 597.89 is: 824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.06 : 1,186.17 = 597.89 : x
  2. Step 2: Convert to fraction form
    860.06/1,186.17 = 597.89/x
  3. Step 3: Cross multiply
    860.06x = 1,186.17 × 597.89
  4. Step 4: Simplify right side
    860.06x = 709,199.18
  5. Step 5: Solve for x
    x = 709,199.18/860.06
  6. Step 6: Final answer
    x = 824.59

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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.