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Finding the Fourth Proportional to 1,465.62, 2,199.24 and 735.81

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Solution

The fourth proportional to 1,465.62, 2,199.24 and 735.81 is: 1,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.62 : 2,199.24 = 735.81 : x
  2. Step 2: Convert to fraction form
    1,465.62/2,199.24 = 735.81/x
  3. Step 3: Cross multiply
    1,465.62x = 2,199.24 × 735.81
  4. Step 4: Simplify right side
    1,465.62x = 1,618,222.78
  5. Step 5: Solve for x
    x = 1,618,222.78/1,465.62
  6. Step 6: Final answer
    x = 1,104.12

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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.