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Finding the Fourth Proportional to 898.88, 1,348.74 and 514.13

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Solution

The fourth proportional to 898.88, 1,348.74 and 514.13 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.88 : 1,348.74 = 514.13 : x
  2. Step 2: Convert to fraction form
    898.88/1,348.74 = 514.13/x
  3. Step 3: Cross multiply
    898.88x = 1,348.74 × 514.13
  4. Step 4: Simplify right side
    898.88x = 693,420.95
  5. Step 5: Solve for x
    x = 693,420.95/898.88
  6. Step 6: Final answer
    x = 771.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.