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Finding the Fourth Proportional to 1,465.45, 2,199.18 and 643.97

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Solution

The fourth proportional to 1,465.45, 2,199.18 and 643.97 is: 966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.45 : 2,199.18 = 643.97 : x
  2. Step 2: Convert to fraction form
    1,465.45/2,199.18 = 643.97/x
  3. Step 3: Cross multiply
    1,465.45x = 2,199.18 × 643.97
  4. Step 4: Simplify right side
    1,465.45x = 1,416,205.94
  5. Step 5: Solve for x
    x = 1,416,205.94/1,465.45
  6. Step 6: Final answer
    x = 966.40

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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.