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Finding the Fourth Proportional to 921.05, 1,381.93 and 433.76

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Solution

The fourth proportional to 921.05, 1,381.93 and 433.76 is: 650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.05 : 1,381.93 = 433.76 : x
  2. Step 2: Convert to fraction form
    921.05/1,381.93 = 433.76/x
  3. Step 3: Cross multiply
    921.05x = 1,381.93 × 433.76
  4. Step 4: Simplify right side
    921.05x = 599,417.96
  5. Step 5: Solve for x
    x = 599,417.96/921.05
  6. Step 6: Final answer
    x = 650.80

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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.