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Finding the Fourth Proportional to 684.23, 1,026.69 and 424.17

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Solution

The fourth proportional to 684.23, 1,026.69 and 424.17 is: 636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.23 : 1,026.69 = 424.17 : x
  2. Step 2: Convert to fraction form
    684.23/1,026.69 = 424.17/x
  3. Step 3: Cross multiply
    684.23x = 1,026.69 × 424.17
  4. Step 4: Simplify right side
    684.23x = 435,491.10
  5. Step 5: Solve for x
    x = 435,491.10/684.23
  6. Step 6: Final answer
    x = 636.47

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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.