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Finding the Fourth Proportional to 712.28, 1,066.80 and 589.72

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Solution

The fourth proportional to 712.28, 1,066.80 and 589.72 is: 883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.28 : 1,066.80 = 589.72 : x
  2. Step 2: Convert to fraction form
    712.28/1,066.80 = 589.72/x
  3. Step 3: Cross multiply
    712.28x = 1,066.80 × 589.72
  4. Step 4: Simplify right side
    712.28x = 629,113.30
  5. Step 5: Solve for x
    x = 629,113.30/712.28
  6. Step 6: Final answer
    x = 883.24

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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.