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Finding the Fourth Proportional to 712.14, 1,068.23 and 382.93

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Solution

The fourth proportional to 712.14, 1,068.23 and 382.93 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.14 : 1,068.23 = 382.93 : x
  2. Step 2: Convert to fraction form
    712.14/1,068.23 = 382.93/x
  3. Step 3: Cross multiply
    712.14x = 1,068.23 × 382.93
  4. Step 4: Simplify right side
    712.14x = 409,057.31
  5. Step 5: Solve for x
    x = 409,057.31/712.14
  6. Step 6: Final answer
    x = 574.41

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Why These Related Problems?

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