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Finding the Fourth Proportional to 674.86, 1,011.81 and 345.90

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Solution

The fourth proportional to 674.86, 1,011.81 and 345.90 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 1,011.81 = 345.90 : x
  2. Step 2: Convert to fraction form
    674.86/1,011.81 = 345.90/x
  3. Step 3: Cross multiply
    674.86x = 1,011.81 × 345.90
  4. Step 4: Simplify right side
    674.86x = 349,985.08
  5. Step 5: Solve for x
    x = 349,985.08/674.86
  6. Step 6: Final answer
    x = 518.60

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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.