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Finding the Fourth Proportional to 881.79, 1,322.08 and 361.64

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Solution

The fourth proportional to 881.79, 1,322.08 and 361.64 is: 542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.79 : 1,322.08 = 361.64 : x
  2. Step 2: Convert to fraction form
    881.79/1,322.08 = 361.64/x
  3. Step 3: Cross multiply
    881.79x = 1,322.08 × 361.64
  4. Step 4: Simplify right side
    881.79x = 478,117.01
  5. Step 5: Solve for x
    x = 478,117.01/881.79
  6. Step 6: Final answer
    x = 542.21

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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.