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Finding the Fourth Proportional to 684.48, 1,026.40 and 407.12

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Solution

The fourth proportional to 684.48, 1,026.40 and 407.12 is: 610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.48 : 1,026.40 = 407.12 : x
  2. Step 2: Convert to fraction form
    684.48/1,026.40 = 407.12/x
  3. Step 3: Cross multiply
    684.48x = 1,026.40 × 407.12
  4. Step 4: Simplify right side
    684.48x = 417,867.97
  5. Step 5: Solve for x
    x = 417,867.97/684.48
  6. Step 6: Final answer
    x = 610.49

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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.