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Finding the Fourth Proportional to 898.73, 1,348.35 and 378.47

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Solution

The fourth proportional to 898.73, 1,348.35 and 378.47 is: 567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.73 : 1,348.35 = 378.47 : x
  2. Step 2: Convert to fraction form
    898.73/1,348.35 = 378.47/x
  3. Step 3: Cross multiply
    898.73x = 1,348.35 × 378.47
  4. Step 4: Simplify right side
    898.73x = 510,310.02
  5. Step 5: Solve for x
    x = 510,310.02/898.73
  6. Step 6: Final answer
    x = 567.81

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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.