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Finding the Fourth Proportional to 684.10, 1,026.15 and 512.92

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Solution

The fourth proportional to 684.10, 1,026.15 and 512.92 is: 769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 1,026.15 = 512.92 : x
  2. Step 2: Convert to fraction form
    684.10/1,026.15 = 512.92/x
  3. Step 3: Cross multiply
    684.10x = 1,026.15 × 512.92
  4. Step 4: Simplify right side
    684.10x = 526,332.86
  5. Step 5: Solve for x
    x = 526,332.86/684.10
  6. Step 6: Final answer
    x = 769.38

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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.