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Finding the Fourth Proportional to 685.53, 1,026.86 and 410.94

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Solution

The fourth proportional to 685.53, 1,026.86 and 410.94 is: 615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.53 : 1,026.86 = 410.94 : x
  2. Step 2: Convert to fraction form
    685.53/1,026.86 = 410.94/x
  3. Step 3: Cross multiply
    685.53x = 1,026.86 × 410.94
  4. Step 4: Simplify right side
    685.53x = 421,975.79
  5. Step 5: Solve for x
    x = 421,975.79/685.53
  6. Step 6: Final answer
    x = 615.55

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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.