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Finding the Fourth Proportional to 846.74, 1,269.66 and 401.52

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Solution

The fourth proportional to 846.74, 1,269.66 and 401.52 is: 602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.74 : 1,269.66 = 401.52 : x
  2. Step 2: Convert to fraction form
    846.74/1,269.66 = 401.52/x
  3. Step 3: Cross multiply
    846.74x = 1,269.66 × 401.52
  4. Step 4: Simplify right side
    846.74x = 509,793.88
  5. Step 5: Solve for x
    x = 509,793.88/846.74
  6. Step 6: Final answer
    x = 602.07

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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.