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Finding the Fourth Proportional to 684.63, 1,023.78 and 509.25

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Solution

The fourth proportional to 684.63, 1,023.78 and 509.25 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 1,023.78 = 509.25 : x
  2. Step 2: Convert to fraction form
    684.63/1,023.78 = 509.25/x
  3. Step 3: Cross multiply
    684.63x = 1,023.78 × 509.25
  4. Step 4: Simplify right side
    684.63x = 521,359.97
  5. Step 5: Solve for x
    x = 521,359.97/684.63
  6. Step 6: Final answer
    x = 761.52

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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.