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Finding the Fourth Proportional to 670.14, 1,005.12 and 345.42

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Solution

The fourth proportional to 670.14, 1,005.12 and 345.42 is: 518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.14 : 1,005.12 = 345.42 : x
  2. Step 2: Convert to fraction form
    670.14/1,005.12 = 345.42/x
  3. Step 3: Cross multiply
    670.14x = 1,005.12 × 345.42
  4. Step 4: Simplify right side
    670.14x = 347,188.55
  5. Step 5: Solve for x
    x = 347,188.55/670.14
  6. Step 6: Final answer
    x = 518.08

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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.