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Finding the Fourth Proportional to 918.12, 1,377.20 and 735.06

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Solution

The fourth proportional to 918.12, 1,377.20 and 735.06 is: 1,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.12 : 1,377.20 = 735.06 : x
  2. Step 2: Convert to fraction form
    918.12/1,377.20 = 735.06/x
  3. Step 3: Cross multiply
    918.12x = 1,377.20 × 735.06
  4. Step 4: Simplify right side
    918.12x = 1,012,324.63
  5. Step 5: Solve for x
    x = 1,012,324.63/918.12
  6. Step 6: Final answer
    x = 1,102.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.