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Finding the Fourth Proportional to 712.12, 1,063.43 and 675.67

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Solution

The fourth proportional to 712.12, 1,063.43 and 675.67 is: 1,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.12 : 1,063.43 = 675.67 : x
  2. Step 2: Convert to fraction form
    712.12/1,063.43 = 675.67/x
  3. Step 3: Cross multiply
    712.12x = 1,063.43 × 675.67
  4. Step 4: Simplify right side
    712.12x = 718,527.75
  5. Step 5: Solve for x
    x = 718,527.75/712.12
  6. Step 6: Final answer
    x = 1,009.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.