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Finding the Fourth Proportional to 712.75, 1,068.92 and 452.36

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Solution

The fourth proportional to 712.75, 1,068.92 and 452.36 is: 678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.75 : 1,068.92 = 452.36 : x
  2. Step 2: Convert to fraction form
    712.75/1,068.92 = 452.36/x
  3. Step 3: Cross multiply
    712.75x = 1,068.92 × 452.36
  4. Step 4: Simplify right side
    712.75x = 483,529.04
  5. Step 5: Solve for x
    x = 483,529.04/712.75
  6. Step 6: Final answer
    x = 678.40

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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.