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Finding the Fourth Proportional to 1,263.48, 1,893.60 and 605.22

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Solution

The fourth proportional to 1,263.48, 1,893.60 and 605.22 is: 907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.48 : 1,893.60 = 605.22 : x
  2. Step 2: Convert to fraction form
    1,263.48/1,893.60 = 605.22/x
  3. Step 3: Cross multiply
    1,263.48x = 1,893.60 × 605.22
  4. Step 4: Simplify right side
    1,263.48x = 1,146,044.59
  5. Step 5: Solve for x
    x = 1,146,044.59/1,263.48
  6. Step 6: Final answer
    x = 907.05

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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.