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Finding the Fourth Proportional to 712.82, 1,068.36 and 404.93

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Solution

The fourth proportional to 712.82, 1,068.36 and 404.93 is: 606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 1,068.36 = 404.93 : x
  2. Step 2: Convert to fraction form
    712.82/1,068.36 = 404.93/x
  3. Step 3: Cross multiply
    712.82x = 1,068.36 × 404.93
  4. Step 4: Simplify right side
    712.82x = 432,613.69
  5. Step 5: Solve for x
    x = 432,613.69/712.82
  6. Step 6: Final answer
    x = 606.90

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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.