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Finding the Fourth Proportional to 920.92, 1,381.14 and 271.50

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Solution

The fourth proportional to 920.92, 1,381.14 and 271.50 is: 407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.92 : 1,381.14 = 271.50 : x
  2. Step 2: Convert to fraction form
    920.92/1,381.14 = 271.50/x
  3. Step 3: Cross multiply
    920.92x = 1,381.14 × 271.50
  4. Step 4: Simplify right side
    920.92x = 374,979.51
  5. Step 5: Solve for x
    x = 374,979.51/920.92
  6. Step 6: Final answer
    x = 407.18

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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.