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Finding the Fourth Proportional to 846.68, 1,269.76 and 269.40

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Solution

The fourth proportional to 846.68, 1,269.76 and 269.40 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.68 : 1,269.76 = 269.40 : x
  2. Step 2: Convert to fraction form
    846.68/1,269.76 = 269.40/x
  3. Step 3: Cross multiply
    846.68x = 1,269.76 × 269.40
  4. Step 4: Simplify right side
    846.68x = 342,073.34
  5. Step 5: Solve for x
    x = 342,073.34/846.68
  6. Step 6: Final answer
    x = 404.02

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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.