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Finding the Fourth Proportional to 848.70, 1,273.19 and 409.55

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Solution

The fourth proportional to 848.70, 1,273.19 and 409.55 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.70 : 1,273.19 = 409.55 : x
  2. Step 2: Convert to fraction form
    848.70/1,273.19 = 409.55/x
  3. Step 3: Cross multiply
    848.70x = 1,273.19 × 409.55
  4. Step 4: Simplify right side
    848.70x = 521,426.55
  5. Step 5: Solve for x
    x = 521,426.55/848.70
  6. Step 6: Final answer
    x = 614.38

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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.