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Finding the Fourth Proportional to 918.86, 1,269.06 and 734.36

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Solution

The fourth proportional to 918.86, 1,269.06 and 734.36 is: 1,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.86 : 1,269.06 = 734.36 : x
  2. Step 2: Convert to fraction form
    918.86/1,269.06 = 734.36/x
  3. Step 3: Cross multiply
    918.86x = 1,269.06 × 734.36
  4. Step 4: Simplify right side
    918.86x = 931,946.90
  5. Step 5: Solve for x
    x = 931,946.90/918.86
  6. Step 6: Final answer
    x = 1,014.24

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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.