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Finding the Fourth Proportional to 712.15, 1,066.86 and 467.95

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Solution

The fourth proportional to 712.15, 1,066.86 and 467.95 is: 701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 1,066.86 = 467.95 : x
  2. Step 2: Convert to fraction form
    712.15/1,066.86 = 467.95/x
  3. Step 3: Cross multiply
    712.15x = 1,066.86 × 467.95
  4. Step 4: Simplify right side
    712.15x = 499,237.14
  5. Step 5: Solve for x
    x = 499,237.14/712.15
  6. Step 6: Final answer
    x = 701.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.