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Finding the Fourth Proportional to 675.19, 1,013.09 and 386.63

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Solution

The fourth proportional to 675.19, 1,013.09 and 386.63 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.19 : 1,013.09 = 386.63 : x
  2. Step 2: Convert to fraction form
    675.19/1,013.09 = 386.63/x
  3. Step 3: Cross multiply
    675.19x = 1,013.09 × 386.63
  4. Step 4: Simplify right side
    675.19x = 391,683.99
  5. Step 5: Solve for x
    x = 391,683.99/675.19
  6. Step 6: Final answer
    x = 580.11

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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.