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Finding the Fourth Proportional to 918.42, 1,370.19 and 843.16

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Solution

The fourth proportional to 918.42, 1,370.19 and 843.16 is: 1,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.42 : 1,370.19 = 843.16 : x
  2. Step 2: Convert to fraction form
    918.42/1,370.19 = 843.16/x
  3. Step 3: Cross multiply
    918.42x = 1,370.19 × 843.16
  4. Step 4: Simplify right side
    918.42x = 1,155,289.40
  5. Step 5: Solve for x
    x = 1,155,289.40/918.42
  6. Step 6: Final answer
    x = 1,257.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.