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Finding the Fourth Proportional to 684.51, 1,026.64 and 273.53

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Solution

The fourth proportional to 684.51, 1,026.64 and 273.53 is: 410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.51 : 1,026.64 = 273.53 : x
  2. Step 2: Convert to fraction form
    684.51/1,026.64 = 273.53/x
  3. Step 3: Cross multiply
    684.51x = 1,026.64 × 273.53
  4. Step 4: Simplify right side
    684.51x = 280,816.84
  5. Step 5: Solve for x
    x = 280,816.84/684.51
  6. Step 6: Final answer
    x = 410.25

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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.