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Finding the Fourth Proportional to 1,465.96, 2,199.96 and 644.80

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Solution

The fourth proportional to 1,465.96, 2,199.96 and 644.80 is: 967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.96 : 2,199.96 = 644.80 : x
  2. Step 2: Convert to fraction form
    1,465.96/2,199.96 = 644.80/x
  3. Step 3: Cross multiply
    1,465.96x = 2,199.96 × 644.80
  4. Step 4: Simplify right side
    1,465.96x = 1,418,534.21
  5. Step 5: Solve for x
    x = 1,418,534.21/1,465.96
  6. Step 6: Final answer
    x = 967.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.