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Finding the Fourth Proportional to 712.24, 1,066.86 and 574.54

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Solution

The fourth proportional to 712.24, 1,066.86 and 574.54 is: 860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.24 : 1,066.86 = 574.54 : x
  2. Step 2: Convert to fraction form
    712.24/1,066.86 = 574.54/x
  3. Step 3: Cross multiply
    712.24x = 1,066.86 × 574.54
  4. Step 4: Simplify right side
    712.24x = 612,953.74
  5. Step 5: Solve for x
    x = 612,953.74/712.24
  6. Step 6: Final answer
    x = 860.60

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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.