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Finding the Fourth Proportional to 684.14, 1,023.06 and 510.92

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Solution

The fourth proportional to 684.14, 1,023.06 and 510.92 is: 764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.14 : 1,023.06 = 510.92 : x
  2. Step 2: Convert to fraction form
    684.14/1,023.06 = 510.92/x
  3. Step 3: Cross multiply
    684.14x = 1,023.06 × 510.92
  4. Step 4: Simplify right side
    684.14x = 522,701.82
  5. Step 5: Solve for x
    x = 522,701.82/684.14
  6. Step 6: Final answer
    x = 764.03

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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.