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Finding the Fourth Proportional to 860.11, 1,186.98 and 467.16

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Solution

The fourth proportional to 860.11, 1,186.98 and 467.16 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.11 : 1,186.98 = 467.16 : x
  2. Step 2: Convert to fraction form
    860.11/1,186.98 = 467.16/x
  3. Step 3: Cross multiply
    860.11x = 1,186.98 × 467.16
  4. Step 4: Simplify right side
    860.11x = 554,507.82
  5. Step 5: Solve for x
    x = 554,507.82/860.11
  6. Step 6: Final answer
    x = 644.69

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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.