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Finding the Fourth Proportional to 860.01, 1,186.64 and 500.95

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Solution

The fourth proportional to 860.01, 1,186.64 and 500.95 is: 691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.01 : 1,186.64 = 500.95 : x
  2. Step 2: Convert to fraction form
    860.01/1,186.64 = 500.95/x
  3. Step 3: Cross multiply
    860.01x = 1,186.64 × 500.95
  4. Step 4: Simplify right side
    860.01x = 594,447.31
  5. Step 5: Solve for x
    x = 594,447.31/860.01
  6. Step 6: Final answer
    x = 691.21

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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.