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Finding the Fourth Proportional to 1,444.15, 2,165.91 and 469.99

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Solution

The fourth proportional to 1,444.15, 2,165.91 and 469.99 is: 704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.15 : 2,165.91 = 469.99 : x
  2. Step 2: Convert to fraction form
    1,444.15/2,165.91 = 469.99/x
  3. Step 3: Cross multiply
    1,444.15x = 2,165.91 × 469.99
  4. Step 4: Simplify right side
    1,444.15x = 1,017,956.04
  5. Step 5: Solve for x
    x = 1,017,956.04/1,444.15
  6. Step 6: Final answer
    x = 704.88

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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.