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Finding the Fourth Proportional to 1,073.92, 1,607.22 and 900.78

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Solution

The fourth proportional to 1,073.92, 1,607.22 and 900.78 is: 1,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.92 : 1,607.22 = 900.78 : x
  2. Step 2: Convert to fraction form
    1,073.92/1,607.22 = 900.78/x
  3. Step 3: Cross multiply
    1,073.92x = 1,607.22 × 900.78
  4. Step 4: Simplify right side
    1,073.92x = 1,447,751.63
  5. Step 5: Solve for x
    x = 1,447,751.63/1,073.92
  6. Step 6: Final answer
    x = 1,348.10

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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.