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Finding the Fourth Proportional to 900.91, 1,348.76 and 553.20

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Solution

The fourth proportional to 900.91, 1,348.76 and 553.20 is: 828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.91 : 1,348.76 = 553.20 : x
  2. Step 2: Convert to fraction form
    900.91/1,348.76 = 553.20/x
  3. Step 3: Cross multiply
    900.91x = 1,348.76 × 553.20
  4. Step 4: Simplify right side
    900.91x = 746,134.03
  5. Step 5: Solve for x
    x = 746,134.03/900.91
  6. Step 6: Final answer
    x = 828.20

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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.