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Finding the Fourth Proportional to 667.84, 1,001.82 and 257.08

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Solution

The fourth proportional to 667.84, 1,001.82 and 257.08 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.84 : 1,001.82 = 257.08 : x
  2. Step 2: Convert to fraction form
    667.84/1,001.82 = 257.08/x
  3. Step 3: Cross multiply
    667.84x = 1,001.82 × 257.08
  4. Step 4: Simplify right side
    667.84x = 257,547.89
  5. Step 5: Solve for x
    x = 257,547.89/667.84
  6. Step 6: Final answer
    x = 385.64

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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.