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Finding the Fourth Proportional to 747.32, 1,119.32 and 361.76

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Solution

The fourth proportional to 747.32, 1,119.32 and 361.76 is: 541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.32 : 1,119.32 = 361.76 : x
  2. Step 2: Convert to fraction form
    747.32/1,119.32 = 361.76/x
  3. Step 3: Cross multiply
    747.32x = 1,119.32 × 361.76
  4. Step 4: Simplify right side
    747.32x = 404,925.20
  5. Step 5: Solve for x
    x = 404,925.20/747.32
  6. Step 6: Final answer
    x = 541.84

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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.