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Finding the Fourth Proportional to 675.16, 1,011.66 and 386.80

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Solution

The fourth proportional to 675.16, 1,011.66 and 386.80 is: 579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.16 : 1,011.66 = 386.80 : x
  2. Step 2: Convert to fraction form
    675.16/1,011.66 = 386.80/x
  3. Step 3: Cross multiply
    675.16x = 1,011.66 × 386.80
  4. Step 4: Simplify right side
    675.16x = 391,310.09
  5. Step 5: Solve for x
    x = 391,310.09/675.16
  6. Step 6: Final answer
    x = 579.58

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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.