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Finding the Fourth Proportional to 922.48, 1,269.63 and 735.37

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Solution

The fourth proportional to 922.48, 1,269.63 and 735.37 is: 1,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.48 : 1,269.63 = 735.37 : x
  2. Step 2: Convert to fraction form
    922.48/1,269.63 = 735.37/x
  3. Step 3: Cross multiply
    922.48x = 1,269.63 × 735.37
  4. Step 4: Simplify right side
    922.48x = 933,644.64
  5. Step 5: Solve for x
    x = 933,644.64/922.48
  6. Step 6: Final answer
    x = 1,012.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.