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Finding the Fourth Proportional to 712.34, 1,066.44 and 530.54

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Solution

The fourth proportional to 712.34, 1,066.44 and 530.54 is: 794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 1,066.44 = 530.54 : x
  2. Step 2: Convert to fraction form
    712.34/1,066.44 = 530.54/x
  3. Step 3: Cross multiply
    712.34x = 1,066.44 × 530.54
  4. Step 4: Simplify right side
    712.34x = 565,789.08
  5. Step 5: Solve for x
    x = 565,789.08/712.34
  6. Step 6: Final answer
    x = 794.27

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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.