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Finding the Fourth Proportional to 674.08, 1,010.19 and 509.41

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Solution

The fourth proportional to 674.08, 1,010.19 and 509.41 is: 763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.08 : 1,010.19 = 509.41 : x
  2. Step 2: Convert to fraction form
    674.08/1,010.19 = 509.41/x
  3. Step 3: Cross multiply
    674.08x = 1,010.19 × 509.41
  4. Step 4: Simplify right side
    674.08x = 514,602.15
  5. Step 5: Solve for x
    x = 514,602.15/674.08
  6. Step 6: Final answer
    x = 763.42

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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.