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Finding the Fourth Proportional to 860.01, 1,186.82 and 467.04

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Solution

The fourth proportional to 860.01, 1,186.82 and 467.04 is: 644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.01 : 1,186.82 = 467.04 : x
  2. Step 2: Convert to fraction form
    860.01/1,186.82 = 467.04/x
  3. Step 3: Cross multiply
    860.01x = 1,186.82 × 467.04
  4. Step 4: Simplify right side
    860.01x = 554,290.08
  5. Step 5: Solve for x
    x = 554,290.08/860.01
  6. Step 6: Final answer
    x = 644.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.