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Finding the Fourth Proportional to 684.97, 1,026.38 and 465.70

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Solution

The fourth proportional to 684.97, 1,026.38 and 465.70 is: 697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.97 : 1,026.38 = 465.70 : x
  2. Step 2: Convert to fraction form
    684.97/1,026.38 = 465.70/x
  3. Step 3: Cross multiply
    684.97x = 1,026.38 × 465.70
  4. Step 4: Simplify right side
    684.97x = 477,980.27
  5. Step 5: Solve for x
    x = 477,980.27/684.97
  6. Step 6: Final answer
    x = 697.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.