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Finding the Fourth Proportional to 849.76, 1,274.67 and 404.93

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Solution

The fourth proportional to 849.76, 1,274.67 and 404.93 is: 607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.76 : 1,274.67 = 404.93 : x
  2. Step 2: Convert to fraction form
    849.76/1,274.67 = 404.93/x
  3. Step 3: Cross multiply
    849.76x = 1,274.67 × 404.93
  4. Step 4: Simplify right side
    849.76x = 516,155.31
  5. Step 5: Solve for x
    x = 516,155.31/849.76
  6. Step 6: Final answer
    x = 607.41

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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.