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Finding the Fourth Proportional to 670.63, 1,005.79 and 259.63

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Solution

The fourth proportional to 670.63, 1,005.79 and 259.63 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.63 : 1,005.79 = 259.63 : x
  2. Step 2: Convert to fraction form
    670.63/1,005.79 = 259.63/x
  3. Step 3: Cross multiply
    670.63x = 1,005.79 × 259.63
  4. Step 4: Simplify right side
    670.63x = 261,133.26
  5. Step 5: Solve for x
    x = 261,133.26/670.63
  6. Step 6: Final answer
    x = 389.38

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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.